What are the possible values of x if (4c-5) ^2 = 49?

c = 3 c = - 1/2

Step-by-step explanation:

(4c-5) ^2 = 49

Take the square root of each side

sqrt ((4c-5) ^2) = ±qrt (49)

4c-5 = ±7

Separate into two equations

4c-5 = 7 4c-5 = - 7

Add 5 to each side

4c-5+5 = 7+5 4c-5+5 = -7+5

4c = 12 4c = - 2

Divide by 4

4c/4 = 12/4 4c/4 = - 2/4

c = 3 c = - 1/2