Question

A clear explanation of how to solve the equation below would be appreciated.

Answer 1

The solution of equation is: x=-7/2

Step-by-step explanation:

Given equation is:

$5-\sqrt{2x+8}=4$

first of all, we have to simplify the equation

so,

Subtracting 5 from both sides

$5-5-\sqrt{2x+8}=4-5\\-\sqrt{2x+8}=-1$

Dividing both sides by -1

$\frac{-\sqrt{2x+8}}{-1}=\frac{-1}{-1}\\\sqrt{2x+8}=1$

Taking square on both sides

$(\sqrt{2x+8})^2=(1)^2$

$2x+8=1$

Subtracting 8 from both sides

$2x+8-8=1-8\\2x=-7$

dividing both sides by 2

$\frac{2x}{2}=-\frac{7}{2}\\x=\frac{7}{2}$

the solution of equation is: x=-7/2

Keywords: Equations, Radicals

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