Question

Find the solution of 3 times the square root of the quantity of x plus 6 equals negative 12, and determine if it is an extraneous solution

Answer 1

\[3\sqrt{x+6}=-12\]

Answer 2

Divide 3 on both sides first.

Answer 3

\[\sqrt{x+6}=-4\]
Then I multiply by -1 on each side?

Answer 4

No, we square both sides.

Answer 5

oh that's right this isn't an I equation so itll be x=10 after squaring and subtracting 6

Answer 6

and now, plug back in x = 10

when you plug back in x = 10, does it work?

Answer 7

no it doesn't

Answer 8

so that means it is an extraneous solution

Answer 9

oh that was pretty easy thought I got the wrong x value thanks again :)