Roots of quadratic equation calculator. x1 and x2 are roots of the equation.

Roots of quadratic equation calculator The calculator will tell you not only the answers but also how to find the discriminant and solve the quadratic equation using the quadratic formula. Shows you the step-by-step solutions using the quadratic formula! This calculator will solve your problems. Real and complex roots, completing the square, factoring, graphing. Enter the coefficients a, b and c or a quadratic expression and get the real and complex root solutions with work. This calculator is automatic, which means that it outputs solution with all steps on demand. Solve a quadratic equation by factoring. Dec 27, 2024 · The Polynomial Roots Finder Calculator is an advanced tool designed to compute the roots of polynomial equations of any degree. Just enter the values of a, b, and c, and get the exact real or complex roots instantly. This method is advantageous because it offers a straightforward way to find the roots of any quadratic equation without needing to factor the equation or complete the square each time. Instructions: This quadratic formula calculator will solve a quadratic equation for you, showing all the steps. Whether the equation has real or complex roots, the tool delivers precise, instant results based on the quadratic formula. Dec 27, 2024 · The Quadratic Equation Solver Calculator is an interactive tool designed to solve quadratic equations of the form. You’ll learn what roots really are, how to find them step by step, and how to use Symbolab’s Roots Calculator to check your work or explore more complex equations. Simply input the values of a, b, and c to determine the solutions quickly and accurately. com. If p = 0, the A quadratic Calculator is used to find the roots of the given quadratic equation. There are three cases for discriminant: if \ ( b^2 - 4ac = 0 \), then the roots of quadratic equations are real and equal. The quadratic formula provides the solutions to the quadratic equation by directly substituting the values of a, b, and c into the formula. BYJU’S online roots calculator tools make the calculation faster and it displays the roots or the value of the variable in a fraction of seconds. Here, x is the variable, a and b are coefficients and c is the constant. The calculator shows each step so you can follow along. Our online quadratic formula calculator tool speeds up the computation and shows the roots in a snap. Uses the cubic formula to solve third order polynomials for real and complex solutions. This quadratic formula calculator helps you find the roots of a quadratic equation using the quadratic formula. Calculator shows all the work and provides detailed explanation on how to solve an equation. Perfect for students, teachers and professionals who need to solve quadratic equations with mathematical detail, including complex roots and negative discriminant. com Apr 27, 2025 · Quadratic Equation Solver – Instantly Find Roots, Steps & Graphs Struggling with algebra? Whether you’re a high school student or a data science pro, solving quadratic equations is a must. Jul 11, 2022 · Welcome to our quadratic formula calculator, where you can easily calculate the roots of a quadratic equation. In quadratic equation formula, we have \ ( b^2 - 4ac \) under root, this is discriminant of quadratic equations. Polynomial roots calculator This free math tool finds the roots (zeros) of a given polynomial. It ensures accuracy, saves time, and helps those who might find manually solving the formula challenging. By understanding the discriminant and following the steps outlined above, you can easily determine the roots of any quadratic equation. A quadratic equation is a polynomial equation that contains the second degree, but no higher degree, of the variable. Type in any equation to get the solution, steps and graph We can help you solve an equation of the form ax2 + bx + c = 0 Enter your values of a, b and c here (details below): The Roots of quadratic equation calculator that finds the roots/ solution of quadratic equation online. A solution to this equation is also called a root of the equation. In this article, we’ll explore quadratic equations, how to use the calculator effectively, its Free equations calculator - solve linear, quadratic, polynomial, radical, exponential and logarithmic equations with all the steps. Input your found roots back into the equation to check for correctness and ensure the solutions hold true. To explain its functioning, consider a quadratic function which is a second-degree polynomial written in the form (𝑝) 𝑥 2 + (𝑞) 𝑥 + 𝑟 = 0 where p and 𝑞 are coefficients of (x)^2 and x, respectively, and r is a constant. Unlike other tools, it provides complete analysis including vertex, axis of symmetry, concavity, intercepts and nature of roots. The quadratic formula is the solution of a second-degree polynomial equation of the following form: Ax² + Bx + C = 0 If you can rewrite your equation in this form, it means that it can be solved with the quadratic formula. This quadratic equation calculator lets you calculate the roots or solutions for a quadratic equation. What is the relationship between the points in red and the parabola? Discriminant Calculator The Discriminant tells about the nature of the roots of quadratic equation. Calculator shows all the work and provides step-by-step on how to find zeros and their multiplicities. Over This free quadratic formula calculator finds the roots and discriminant of quadratic equations, with a full step-by-step breakdown and graph visualization. An equation 2x^2+3x-2 = 0 is a quadratic equation with 2 as quadratic coefficient, 3 as linear coefficient and -2 as constant. The calculator computes exact solutions for quadratic, cubic, and quartic equations. Shows all the steps, free, accurate and reliable The Quadratic Formula Calculator is an online tool that finds solutions of any quadratic equation of the form ax² + bx + c = 0. And it shows you the steps as well. Aug 1, 2025 · Algebra calculators for absolute value and difference, cube roots, square roots, exponents, any radicals or roots, simplifying radical expressions, fractional exponents, logarithms and solving quadratic equations. Solve any quadratic equation easily with our free online Quadratic Equation Calculator. The Quadratic Equation Calculator is your go-to solution for solving any quadratic equation with ease. Whenever any quadratic equation consider to solve for unknown, we just enter the co-efficient of x2, x and the constant and within second it will share the output of entered input values. Whether you’re a student, a professional, or someone brushing up on algebra, this calculator simplifies the process of finding solutions to second-degree polynomial equations. Whether the roots are real or complex, the quadratic formula provides a clear and systematic way to find them. It will find both the real and the imaginary (complex) roots. The quadratic equation calculator accepts the coefficients a, b, and c of a quadratic equation in the standard form, and then calculates the roots of the equation, including complex roots. Support for Jul 1, 2025 · Calculate real and complex roots of quadratic equations (ax² + bx + c = 0) using the quadratic formula and discriminant. Roots Calculator is a free online tool that displays the roots of the given quadratic equation. Use our free quadratic formula calculator to solve any quadratic equation instantly. The standard form of a quadratic equation is ax 2 + bx + c = 0 when a ≠ 0 and a, b, and c are real numbers. We would like to show you a description here but the site won’t allow us. Our quadratic equation calculator can solve quadratic equations with real or complex roots. A solution of quadratic equations is usually two different real or complex roots or one double root — the calculation using the discriminant. a x 2 + b x + c = 0 ax2 + bx+ c = 0 Aug 1, 2025 · Cubic Equation Calculator solves cubic equations or 3rd degree polynomials. Quadratic calculator is the very useful as it shows each and every steps very precisely. x1 and x2 are roots of the equation. With our Quadratic Equation Solver, you can easily find the roots of any equation in seconds. Free Quadratic Formula Calculator helps you to find the roots of quadratic equations. Quadratic equation has the basic form: ax2+bx+c=0 Enter the quadratic equation's coefficients a, b, and c of its basic standardized form. The Quadratic Formula Calculator helps you quickly solve any quadratic equation of the form ax² + bx + c = 0. This web-based calculator is geared towards students, teachers, and even math lovers, solving quadratic equations in seconds with a few mouse clicks. The quadratic formula calculator is an online tool that is used to calculate the roots of a quadratic equation. The quadratic equation is a second-degree polynomial equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable. . Solve step-by-step using the standard quadratic formula. Simplify your math calculations and save time! Jun 3, 2025 · Solve quadratic equations easily with this calculator. The quadratic formula calculator helps you to calculate the roots of a quadratic equation by applying a quadratic formula and shows complete steps. Enter coefficients a, b, c and get accurate roots with steps. This free quadratic formula calculator solves the quadratic formula given values for a, b, and c. The Quadratic Formula calculator is a free online tool that can find the roots of any given quadratic equation (real and complex) in a matter of seconds. Quadratic Formula Calculator Our quadratic equation calculator is here to find solutions (roots) and check your work—but it does not provide any shortcuts. This free math tool finds the roots (zeros) of a given polynomial. Type the coefficients of the quadratic equation, and the solver will give you the roots, the y-intercept, the coordinates of the vertex showing all the work and it will plot the function. Quadratic Equation Solver to find the two unknown roots of equation from the input values a, b and c. Free Equation Given Roots Calculator - Find equations given their roots step-by-step This calculator solves quadratic equations using three different methods : the quadratic formula method, completing the square, and the factoring method. Aug 1, 2025 · Solve quadratic equations using the quadratic formula with this online calculator. Find real or complex roots in seconds. Free algebra tool trusted by students & teachers for accurate answers! Aug 16, 2024 · Verifying Solutions A quadratic function calculator also serves as a verification tool once you’ve manually solved a quadratic equation. See full list on equationcalc. Free Equation Solver helps you to calculate linear, quadratic and polynomial systems of equations. Identify a quadratic equation. This calculator is ideal for students, educators, engineers, and scientists who need quick and accurate results for their work. Adjust the a, b, and c of the quadratic function below and watch what happens to the roots of the quadratic equation. The calculator will solve the quadratic equation step by step either by completing the square or using the quadratic formula. For equations with real solutions, you can use the graphing tool to visualize the solutions. Quadratic equations are solved for real roots and complex roots. The Quadratic Formula Calculator simplifies the process of finding the roots of a quadratic equation. Solve your quadratic equations step-by-step! Solves by factoring, square root, quadratic formula methods. Place a quadratic equation in standard form. Free quadratic formula calculator to find the roots, vertex, and graph of any quadratic equation. Quadratic equations and functions are very important in business mathematics which cover a wide range of business concepts including cost, revenue, break-even analysis, supply demand, market equilibrium and so on. Even though our calculator is efficient at finding an answer to your problems, it doesn’t reveal any of the steps involved in solving a quadratic equation. Find roots, vertex, discriminant, and graph the parabola with step-by-step solutions and options. What is a Quadratic Equation Calculator? Quadratic Equation Calculator is an online tool that helps to solve the given quadratic equation and find its roots. A Root Finder Calculator is an online calculator that computes the roots or solutions of a function of nth degree where n = 1,2,3,4 and so on. Input coefficients a, b, and c to find real or complex roots quickly and accurately. Perfect for students and professionals. Furthermore the calculator is highly accurate and effective. Quadratic Formula Calculator: Find real/complex roots with step-by-step solutions. The standard form of a quadratic equation is given by ax 2 + bx + c = 0. With a step by step solution it is indeed easy to learn algebra at EquationCalc. Just enter your equation—and get real, complex, or repeated roots with complete step-by-step solutions. Jun 3, 2025 · Our quadratic formula calculator offers advanced solutions for second-degree equations. This quadratic formula solver can even find complex roots if they exist! In this article, we shall discuss how to solve quadratic equations using the quadratic formula, so stick around to learn more! Quadratic formula calculator solves quadratic equations using the quadratic formula. The quadratic formula is as follows: x = (-B ± √Δ)/2A where: Δ = B² – 4AC Using this formula, you Use Cuemath's Online Roots of Quadratic Equation Calculator and find the roots of a given quadratic equation. The formulas can be found below the calculator. Also, learn more about its derivation. Free quadratic equation calculator - Solve quadratic equations using factoring, completing the square, and quadratic formula step-by-step. This quadratic formula calculator lets you calculate the discriminant and the roots or solutions for a quadratic equation. Basically quadratic calculator is a free online tool that shows the discriminant and provides roots of the given Free Quadratic Formula Calculator helps you to find the roots of quadratic equations. Calculate solutions to quadratic equations with this Quadratic Formula Calculator. This quadratic function calculator helps you find the roots of a quadratic equation online. A Quadratic Equation Calculator is a powerful tool designed to solve quadratic equations quickly and accurately. Aug 2, 2024 · When faced with a quadratic equation, such as ax² + bx + c = 0, you can use a quadratic equation calculator to find its roots. It simplifies the process of finding solutions for polynomial equations, whether they are real or complex. Answers, graphs, roots, alternate forms. It will calculate the discriminant D= (b 2 -4ac) and determine whether it is equal to, greater than, or less than zero. Easy quadratic formula calculatorFinally The quadratic formula is a powerful and straightforward method for solving quadratic equations. The Quadratic Formula Calculator finds solutions to quadratic equations with real coefficients. The calculator, helps you finds the roots of a second degree polynomial of the form ax2 + bx + c = 0 where a,b,c are constants, a ≠ 0. It allows you to enter the coefficients a, b, and c, then instantly calculates the roots of the equation, showing both real and complex solutions with detailed solving steps. Use our quadratic formula calculator to solve for x in a quadratic equation.