Question

Solve the equation 25b² − 64 = 0 by factoring. What are the solutions to the equation?

A. b = 2, b = -2
B. b = 4, b = -4
C. b = 8, b = -8
D. b = 6, b = -6

Answer 1

The solutions to the equation 25b² − 64 = 0, solved by factoring, are b = 8 and b = -8.

Step-by-step explanation:

This equation can be solved by factoring. The equation is 25b² − 64 = 0. To factorize it, we can write it as the difference of squares: (5b)² − 8² = 0. Now, we have a difference of squares, which can be factored as (5b − 8)(5b + 8) = 0. So, the solutions to the equation are b = 8 and b = -8.