What do you need to find in order to solve a quadratic equation?

To solve a quadratic equation, you typically need to identify the coefficients of the equation in the standard form ( ax^2 + bx + c = 0 ), where ( a ), ( b ), and ( c ) are constants. You can then use the quadratic formula ( x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} ) to find the roots of the equation. Additionally, knowing whether the discriminant ( b^2 - 4ac ) is positive, zero, or negative helps determine the nature of the solutions (two real, one real, or two complex roots).