Solving Quadratics by the Square Root Property

The square root property says that if x 2 = c, then equation or equation. This can be written as “if x 2 = c, then equation.” If c is positive, then x has two real answers. If c is negative, then x has two imaginary answers.

Example 1

Solve each of the following equations.

  1. x 2 = 48

  2. x 2 = –16

  3. 5 x 2 – 45 = 0

  4. ( x – 7) 2 = 81

  5. ( x + 3) 2 = 24

  1. equation

  2. equation

  3. equation

  4. equation

  5. equation