How do you solve (x - 3)^2 = 25(x3)2=25?

1 Answer
Apr 13, 2016

=>x=8 or x=-2x=8orx=2

Explanation:

Take the square root of both sides giving

sqrt( (x-3)^2) = +-sqrt(25)(x3)2=±25

Technically it should be +-sqrt( (x-3)^2) = +-sqrt(25)±(x3)2=±25

But the same answer would be obtained by

sqrt( (x-3)^2) = +-sqrt(25)(x3)2=±25

=> x-3=+-5x3=±5

=> x=3+-5x=3±5

=>x=8 or x=-2x=8orx=2