Question

what are the possible values of x if (4x – 5)2 = 49? check all that apply. -4/5 -1/2 3 5 7

Answer 1

(4x-5)^2 = 49

Extract square root from both sides

4x-5 =(+/-)7

4x = 5 +7 and 4x = 5 -7

4x = 12 and 4x = -2

x = 12/4 and x = -2/4

x= 3 and x =-1/2

Answer 2

The possible values of x in the equation as given are; -1/2 and 3.

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

According to the task content; the possible values of x in the equation are required and can be evaluated as follows;

(4x – 5)² = 49

4x -5 = ±7

Hence, upon evaluation; x= 3 or x = -1/2.

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