Question

Find the solution of four times the square root of the quantity of x plus 2 equals negative 16.

Answer 1

is it this? \(4\sqrt{x+2}=-16\)

Answer 2

yes

Answer 3

I can't type it up like that on my computer haha

Answer 4

lol you can if you learn \(\LaTeX\)

anyway, you wanna do the operations (e.g. multiplication, division) so you isolate the x.

\(4\sqrt{x+2}=-16\)

divide both sides by 4

\(\sqrt{x+2}=-4\)

square both sides

\((\sqrt{x+2})^2=(-4)^2\)

\(x+2=16\)

can you solve it from here?

Answer 5

Yes thank you so much!

Answer 6

no problem!

Answer 7

And this would be an extraneous solution, correct? @aaronq

Answer 8

sorry i had to look up what that meant. But it is because it doesnt work in the original equation.

Answer 9

Alright that's what I thought, Thanks again!