![]() Thus, x = 1 and x = 2 are the roots of x 2 - 3x + 2 = 0. For example, one can easily see that x = 1 and x = 2 satisfy the quadratic equation x 2 - 3x + 2 = 0 (you can substitute each of the values in this equation and verify). Since the degree of the quadratic equation is 2, it can have a maximum of 2 roots. The value(s) that satisfy the quadratic equation is known as its roots (or) solutions (or) zeros. Solving quadratic equations means finding a value (or) values of variable which satisfy the equation. Solving Quadratic Equations by Quadratic Formula ![]() Solving Quadratic Equations by Completing Square Let us learn all the methods in detail here along with a few solved examples. But the most popular method is solving quadratic equations by factoring. There are different methods used to solve quadratic equations. We know that any value(s) of x that satisfies the equation is known as a solution (or) root of the equation and the process of finding the values of x which satisfy the equation ax 2 + bx + c = 0 is known as solving quadratic equations. The standard form of a quadratic equation is given by the equation ax 2 + bx + c = 0, where a ≠ 0. It means the quadratic equation has a variable raised to 2 as the greatest power term. The word "quadratic" is originated from the word "quad" and its meaning is "square". Before going to learn about solving quadratic equations, let us recall a few facts about quadratic equations.
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