Methods for Solving Quadratic Equations
Quadratic equations are of the form ax + bx + c = 0, where a 0
Quadratics may have two, one, or zero real solutions .
1. Completing the Square
If the quadratic equation is of the form ax + bx + c = 0, where a 0 and the quadratic expression is not factorable,
try completing the square.
Example: x + 6x  11 = 0
**Important: If a 1, divide all terms by “a” before
proceeding to the next steps.
2. Quadratic Formula
Any quadratic equation of the form ax + bx + c = 0, where a 0 can be solved for both real and imaginary
solutions using the quadratic formula:
Example: x + 6x  11 = 0 (a = 1, b = 6, c = 11)
Substitute values into the quadratic formula:
Simplify the radical
This is the final simplified EXACT
answer.
