0 = (x-1) ^2-4

show work <33

x=-1,3

Step-by-step explanation:

0 = (x-1) ^2-4

Add 4 to each side

0+4 = (x-1) ^2-4+4

4 = (x-1) ^2

Take the square root of each side

sqrt (4) = sqrt ((x-1) ^2)

±2 = x-1

Separate into 2 equations

2 = x-1 - 2 = x-1

Add 1 to each side

2+1 = x-1+1 - 2 + 1 = x-1+1

3 = x - 1 = x

There are two solutions

x=-1,3