SOLUTION: How do you solve (5x-4)squared= 9?

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Question 320345: How do you solve (5x-4)squared= 9?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
(5x-4)^2 = 9

Take the square root of each side of the equation to get:

5x-4 = 3

Add 4 to both sides of the equation to get:

5x = 7

Divide both sides of the equation by 5 to get:

x = 7/5

Confirm by substituting x = 7/5 into both sides of the equation to get:

(5*(7/5) - 4)^2 = 9

5 * 7/5 = 7

(7-4)^2 = 9 becomes:

3^2 = 9 which becomes:

9 = 9 which is true confirming that the value of x = 7/5 is good.