# How do you use the square root property to solve this equation (2x+3)^2 = 25?

Aug 13, 2015

The solutions are
color(blue)(x=1,x=-4

#### 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((2x+3)^2)=sqrt(25

(sqrt25= color(blue)(+-5)

So,
sqrt((2x+3)^2)=color(blue)(+-5

(2x+3)=color(blue)(+-5

Solution 1:
$2 x + 3 = + 5$
Isolating $x$
$2 x + 3 - \textcolor{b l u e}{3} = + 5 - \textcolor{b l u e}{3}$
$2 x = 2$
color(blue)(x=1

Solution 2:
$2 x + 3 = - 5$
Isolating $x$
$2 x + 3 - \textcolor{b l u e}{3} = - 5 - \textcolor{b l u e}{3}$
$2 x = - 8$
color(blue)(x=-4