Solving Quadratics by the Square Root Property

The square root property says that if x 2 = c, then or . This can be written as “if x 2 = c, then .” 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 
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