Question

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

Answer 1

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) }` =
`√(36)`

x - 7 =
`√(36)` x - 7 =
`-√(36)`

x =
`√(36)` + 7 x =
`-√(36)` + 7

x = 13 x = 1