Question

Drag each solution to the correct location on the table. Each solution can be used more than once, but not all solutions will be used.

Determine the solutions to each of the given quadratic equations.
(3x + 8)(3x + 8) = 0
(3x-8)(3x + 8) = 0
x(3x - 8) = 0
(3x-8)(3x - 8) = 0
= -8

Answer 1

The answers to your questions are given below.

Explanation:

1. (3x + 8)(3x + 8) = 0

3x + 8 = 0 or 3x + 8 = 0

3x = –8 or 3x = –8

x = –8/3 or –8/3

2. (3x – 8)(3x + 8) = 0

3x – 8 = 0 or 3x + 8 = 0

3x = 8 or 3x = –8

x = 8/3 or –8/3

3. x(3x – 8) = 0

x = 0 or 3x – 8 = 0

x = 0 or 3x = 8

x = 0 or 8/3

4. (3x – 8)(3x – 8) = 0

3x – 8 = 0 or 3x – 8 = 0

3x = 8 or 3x = 8

x = 8/3 or 8/3