To solve any quadratic equation, convert it into standard form ax 2 + bx + c 0, find the values of a, b, and c, substitute them in the roots of quadratic equation formula and simplify. The solver will then show you the steps to help you learn how to solve it on your own. The quadratic formula says the roots of a quadratic equation ax 2 + bx + c 0 are given by x (-b ± (b 2 - 4ac)) /2a. Suppose ax² + bx + c 0 is the quadratic equation, then the formula to find the roots of this equation will be: x -b± (b2-4ac)/2a.
Since quadratics have a degree equal to two, therefore there will be two solutions for the equation. It is based on a right triangle, and states the relationship among the lengths of the sides as \(a^2+b^2=c^2\), where \(a\) and \(b\) refer to the legs of a right triangle adjacent to the \(90°\) angle, and \(c\) refers to the hypotenuse. To solve your equation using the Equation Solver, type in your equation like x+45. The formula for a quadratic equation is used to find the roots of the equation. One of the most famous formulas in mathematics is the Pythagorean Theorem. A quadratic equation is an equation of the form ax 2 + bx + c 0, where a 0 a 0.Quadratic equations differ from linear equations by including a quadratic term with the variable raised to the second power of the form ax 2.