Question

Given (x – 7)2 = 36, select the values of x.

Answer 1

Answer:

x = 13 and x = 1

Step-by-step explanation:

(x-7)² = 36

simplify left side of equation

x² - 14x + 49 = 36

Our object now is to get every thing on the left side of the equal sign so we can factor. To do this, we subtract 36 from both sides

x² - 14x + 13 = 0

we then factor the left side of the equation

( x - 1 ) ( x - 13 ) = 0

we then set factors equal to 0 and solve both factors for x

x - 1 = 0

add 1 to both sides

x = 1

x - 13 = 0

add 13 to both sides

x = 13

The values of x are x = 13 and x = 1