Respuesta :

As the square root and square has the invers to each other.. After solving the given equation the value of the x obtained is 42 units.

Given information

The given equation is,

[tex]\sqrt{x+2}-15=-3 [/tex]

Add the number 15 both the sides,

[tex]\begin{aligned}\\ \sqrt{x+2}-15+15&=-3 +15\\ \sqrt{x+2}&=12\\ \end[/tex]

Square both sides,

[tex](\sqrt{x+2})^2=12^2[/tex]

Square root and square

As the square root and square has the invers to each other. Thus the square cancel the square root. Thus,

[tex]{x+2}=144[/tex]

Solve further for the x

[tex]x=144-2\\ x=142[/tex]

Hence after solving the given equation the value of the x obtained is 42 units.

Learn more about the square root and square here;

https://brainly.com/question/91924