Quadratic equations are of the form ax + bx + c = 0, where a 0
Quadratics may have two, one, or zero real solutions .
Set the equation equal to zero. If the quadratic side is factorable, factor, then set each factor equal to zero.
Example: x = -5x - 6
2. Principle of Square Roots
If the quadratic equation involves a SQUARE and a CONSTANT (no first degree term), position the square on one side and the constant on the other side. Then take the square root of both sides. (Remember, you cannot take the square root of a negative number, so if this process leads to taking the square root of a negative number, there are no real solutions.)
Example 1: x - 16 = 0
Example 2: 2(x + 3)- 14 = 0