Question

sqrt3x+16=x+2 What is the solution set?

Answer 1

\[\sqrt{3x+16} = x+ 2\]If im not wrong..

Answer 2

x = 3

Answer 3

sqrt(3x+16)=x+2 OR sqrt(3x)+16=x+2 ?

Cuddlepony -- which one?

Answer 4

(2)^(3x + 16)^(1/2) = (x +2)^(2)
=
3x + 16 = x^(2) + 4x + 4
=
0 = x^(2) + x - 12
=
(x + 4)(x-3)
so you are wrong

thus -4 and 3

Answer 5

sorry I messed up notation but yeah I just squared both sides of the equation

Answer 6

to elimanate the radical

Answer 7

How should I know I wouldn't ask a question like this

Answer 8

@Directrix

Answer 9

or you are right and I mis interpreted the question meh

Answer 10

only 3x+16 is the sqrt.

Answer 11

Then the answer's 3.

Answer 12

x=-4 is an extraneous solution. It doesn't work. (Try plugging it in.)

Answer 13

Oh sorry I didnt complete the question by taking the domain

Answer 14

You can't take the square root of [0, -infinity)

Answer 15

did you have to use the quadratic equation?

Answer 16

After you square both sides to clear the radical, you will almost always have a quadratic equation on these kinds of problems.

Answer 17

ok, thanks so much!