How do you solve this equation using the square root property #(x + 5)^2 = 36#?

1 Answer
Aug 13, 2015

Answer:

The solutions are
#color(blue)(x=1, x=-11#

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+5)^2)=sqrt(36#

(#sqrt36= color(blue)(+-6#)

So,
#sqrt((x+5)^2)=color(blue)(+-6#

#(x+5)=color(blue)(+-6#

Solution 1:
#x+5 = +6#
Isolating #x#
#x+5 -color(blue)(5)= +6-color(blue)(5)#
#color(blue)(x=1#

Solution 2:
#x+5 = -6#
Isolating #x#
#x+5 -color(blue)(5)= -6-color(blue)(5)#
#color(blue)(x=-11#