How do you solve this equation using the square root property #(x + 3)^2 = 49#?

1 Answer
Aug 13, 2015

Answer:

The solutions are
#color(blue)(x=4, x=-10#

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+3)^2)=sqrt(49#

(#sqrt49= color(blue)(+-7#)

So,
#sqrt((x+3)^2)=color(blue)(+-7#

#(x+3)=color(blue)(+-7#

Solution 1:
#x+3 = +7#
Isolating #x#
#x+3 -color(blue)(3)= +7-color(blue)(3)#
#color(blue)(x=4#

Solution 2:
#x+3 = -7#
Isolating #x#
#x+3 -color(blue)(3)= -7-color(blue)(3)#
#color(blue)(x=-10#