Solve this quadratic equation3/31/2024 ![]() Quadratic Formula: The roots of a quadratic equation ax 2 + bx + c = 0 are given by x = /2a. The positive sign and the negative sign can be alternatively used to obtain the two distinct roots of the equation. The two roots in the quadratic formula are presented as a single expression. There are certain quadratic equations that cannot be easily factorized, and here we can conveniently use this quadratic formula to find the roots in the quickest possible way. Quadratic formula is the simplest way to find the roots of a quadratic equation. Maximum and Minimum Value of Quadratic Expression Solving Quadratic Equations by Factorization Nature of Roots of the Quadratic Equation We shall learn more about the roots of a quadratic equation in the below content. ![]() These two solutions (values of x) are also called the roots of the quadratic equations and are designated as (α, β). Quadratic equations have maximum of two solutions, which can be real or complex numbers. Did you know that when a rocket is launched, its path is described by a quadratic equation? Further, a quadratic equation has numerous applications in physics, engineering, astronomy, etc. In other words, a quadratic equation is an “equation of degree 2.” There are many scenarios where a quadratic equation is used. The term "quadratic" comes from the Latin word "quadratus" meaning square, which refers to the fact that the variable x is squared in the equation. Our calculator provides immediate solutions, allowing users to quickly move on to other tasks or verify their manual calculations without delay.Quadratic equations are second-degree algebraic expressions and are of the form ax 2 + bx + c = 0. We've developed a simple and intuitive interface that even those new to quadratic equations can easily navigate. Whether your equation has real or complex roots, our tool delivers the correct solution. Our calculator is equipped with advanced algorithms that ensure the results are accurate every time. Why Choose Our Quadratic Equation Calculator? ![]() If $$$b^2-4ac\lt0 $$$, the equation has two complex roots.If $$$b^2-4ac=0 $$$, there's one real root (a repeated root).If $$$b^2-4ac\gt0 $$$, the equation has two distinct real roots.The term inside the square root is called the discriminant. The quadratic formula is a universal method to find the roots or solutions of any quadratic equation. Depending on the values of $$$a $$$, $$$b $$$, and $$$c $$$, the parabola can open upwards or downwards and have its vertex anywhere in the coordinate plane. The graphical representation of a quadratic function is a parabola. It's essential that $$$a\ne0 $$$, otherwise, the equation will not be quadratic but linear.$$$x $$$ is the variable or the unknown we aim to find.It has the following form: $$ax^2+bx+c=0, $$ A quadratic equation can have one of three types of roots: two distinct real roots, one repeated real root, or two complex roots.Ī quadratic equation is a particular type of polynomial equation of the second degree. In a short moment, the calculator will show the roots. The calculator will quickly determine the solutions of the equation. How to Use the Quadratic Equation Calculator?Įnter the given quadratic equation and choose the method for solving it.Īfter entering the equation, click the "Calculate" button. Welcome to the ultimate online Quadratic Equation Calculator! Our tool helps you solve quadratic equations with ease, giving you the most accurate results using the quadratic formula.
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