Question

What is the solutions of the equation?

Answer 1

Add 5 to both sides. Then you'll have the square root alone on the left side. Then square both sides. Solve the equation. Then make sure to check every solution in the original problem because squaring both sides sometimes introduces extraneous solutions.

Answer 2

So I have this, now distribute right?

Answer 3

Yo? Anybody there?

Answer 4

Or would it be this...

Answer 5

It's the second one. On the right side you have x + 5.
Now square both sides.

Answer 6

Is it wrong that I dont know what you mean by square both sides? :/

Answer 7

Yo? Anyone there?

Answer 8

You are up to this point, right?

\( \sqrt{2x + 13} = x + 5\)

Answer 9

Yessir

Answer 10

Now you square both sides.
That means raise each side to the second power, or multiply each side by itself.

Answer 11

\( (\sqrt{2x + 13})^2 = (x + 5)^2 \)

Answer 12

The reason for doing this is that taking a square root and squaring are opposite operations that cancel each other. When you square the left side, you no longer have a square root.

Answer 13

\( (\sqrt{2x + 13})^2 = (x + 5)^2\)

\(2x + 13 = (x + 5)(x + 5) \)

Now on the right side you need to use FOIL.