Question

Solve the following question

Answer 1

x=-1

Explanation:

First we can square both sides to remove the square roots:

`(√(x+7))^(2) +(√(x+2))^(2) = (√(6x+13))^(2)`

Simplify:

`x+7+x+2=6x+13`

Now we simplify further:

`2x+9=6x+13`

Now we subtract 13 from both sides:

`2x+9-13=6x+13-13`

Simplify:

`2x-4=6x`

Subtract 2x from both sides:

`2x-4-2x=6x-2x`

Simplify:

`-4=4x`

Divide both sides by 4:

`(-4)/(4) = (4x)/(4)`

Simplify:

-1=x

x=-1