Question

Given (x – 7)^2 = 36, select the values of x. x=13 x=1 x=–29 x=42

Answer 1

Answer:

x = 1, x = 13

Solving by Graphing:

     We can graph the equation to find the values of x.

-> See attached

     Since the line intersects the x-axis at x = 1 and x = 13, this means that those are the correct answer choices.

Solving by the Equation:

(x – 7)^2 = 36

(x – 7)² = 36

$\sqrt{(x-7)^{2} }$ = $\sqrt{36}$

x - 7 =  $\sqrt{36}$               x - 7 =  $-\sqrt{36}$

x =  $\sqrt{36}$ + 7               x =  $-\sqrt{36}$ + 7

   x = 13                           x = 1