How do you solve the equation #(x-12)^2 = 121# using the square root property?

1 Answer
Aug 13, 2015

Answer:

The solutions are
#color(blue)(x=1, x=23#

Explanation:

The square root property involves taking the square root of both the terms on either side of the equation.

Applying the same to the given equation:

#sqrt((x-12)^2)=sqrt(121#

(#sqrt121= color(blue)(+-11#)

So,
#sqrt((x-12)^2)=color(blue)(+-11#

#(x-12)=color(blue)(+-11#

Solution 1:
#x-12 = +11#
Isolating #x#
#x-12 +color(blue)(12)= +11+color(blue)(12)#
#color(blue)(x=23#

Solution 2:
#x-12 = -11#
Isolating #x#
#x-12 +color(blue)(12)= -11 +color(blue)(12)#
#color(blue)(x=1#