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

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

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##