How do you solve (x-1)^2=9(x1)2=9?

2 Answers
Mar 17, 2018

x=4,-2x=4,2

Explanation:

We have:

(x-1)^2=9(x1)2=9

Taking the square root of both sides,

sqrt((x-1)^2)=sqrt(9)(x1)2=9

x-1=+-3x1=±3

x=+-3+1x=±3+1

x=4,-2x=4,2

Mar 17, 2018

x=4x=4 & x=-2x=2

Explanation:

We can start by taking the +-± square root of both sides. We get:

x-1=+-3x1=±3

We can now break up our equation into the following:

x-1=3x1=3 & x-1=-3x1=3

We can solve the equations by adding 11 to both sides yielding:

x=4x=4 & x=-2x=2