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

1 Answer
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:
2x+3 = +5
Isolating x
2x+3 -color(blue)(3)= +5-color(blue)(3)
2x=2
color(blue)(x=1

Solution 2:
2x+3 = -5
Isolating x
2x+3 -color(blue)(3)= -5-color(blue)(3)
2x=-8
color(blue)(x=-4