Problem 1 Solving by Graphing

What are the solutions of each equation? Use a graph of the related function.

1. x 2 − 1 = 0 x squared , minus 1 equals 0

   Graph y = x 2 − 1 . y equals , x squared , minus 1 .

   

   There are two solutions, ± 1 . plus minus 1 .

2. x 2 = 0 x squared , equals 0

   Graph y = x 2 . y equals , x squared , .

   

   There is one solution, 0.

3. x 2 + 1 = 0 x squared , plus 1 equals 0

   Graph y = x 2 + 1 . y equals , x squared , plus 1 .

   

   There is no real-number solution.

✓ Got It?

1. What are the solutions of each equation? Use a graph of the related function.
   1. x 2 − 16 = 0 x squared , minus 16 equals 0
   2. 3 x 2 + 6 = 0 3 x squared , plus 6 equals 0
   3. x 2 − 25 = − 25 x squared , minus 25 equals negative 25

Problem 2 Solving Using Square Roots

What are the solutions of 3 x 2 − 75 = 0 ? 3 x squared , minus 75 equals 0 question mark

✓ Got It?

2. What are the solutions of each equation?
   1. m 2 − 36 = 0 m squared , minus 36 equals 0
   2. 3 x 2 + 15 = 0 3 x squared , plus 15 equals 0
   3. 4 d 2 + 16 = 16 4 d squared , plus 16 equals 16