x-1 squared = 9

Question

x -1 squared = 25

Answer 1

(x-1)^2=9

x^2-2x+1=9

x^2-2x+1-9=0

x^2-2x-8=0

factor

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

x-4=0

x=4

x+2=0

x=-2

 

(x-1)^2=25

x^2-2x+1=25

x^2-2x+1-25=0

x^2-2x-24=0

factor

(x-6)(x+4)=0

x-6=0

x=6

x+4=0

x=-4