How do you solve for quadratic equation?

Answer 1

To solve a quadratic equation of the form ( ax^2 + bx + c = 0 ), you can use several methods, including factoring, completing the square, or applying the quadratic formula. The quadratic formula, ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ), is particularly useful when the equation cannot be easily factored. First, calculate the discriminant (( b^2 - 4ac )); if it is positive, there are two real solutions, if zero, one real solution, and if negative, two complex solutions. Select the appropriate method based on the specific equation you are working with.