How do you solve (x-5)^2=49?

1 Answer
May 14, 2016

x=12, -2

Explanation:

(x-5)^2=49

We know that 49 = 7^2 " and "49 = -7^2

Find the square-root of both sides:

x-5=+-7

When x-5=7

Add 5 to both sides:

x-5color(red)(+5)=7color(red)(+5)

x=12

When x-5=-7

Add 5 to both sides:

x-5color(red)(+5)=-7color(red)(+5)

x=-2