SOLUTION: (x-1)^2=7

Algebra.Com
Question 89134: (x-1)^2=7
Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!
Given:
.

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Take the square root of both sides to get:
.
and
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Add 1 to both sides to get rid of the -1 on the left side. By adding 1 to both sides
the equation becomes:
.

.
So x equals and
.
You can check these two answers by substituting them for x in the original problem.
.
First substitute for x and the original problem becomes:
.

.
Notice that within the parentheses the + 1 and the -1 cancel so the equation reduces to:
.

.
and when you square the square root of 7, the answer is 7 so the equation becomes:
.

.
and this checks out. So that answer is correct.
.
Next substitute for x and the original problem becomes:
.

.
Notice that within the parentheses the + 1 and the -1 again cancel so the equation
reduces to:
.

.
and when you square the negative square root of 7 by multiplying it by the negative
square root of y, the answer is +7 so the equation becomes:
.

.
and this answer also checks out.
.
Hope this helps you to understand the problem. Cheers!

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