What is the solutions of the equation?

Question

anonymous · Answer

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mathstudent55 · Answer

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.

anonymous · Answer

So I have this, now distribute right?

anonymous · Answer

Yo? Anybody there?

anonymous · Answer

Or would it be this...

mathstudent55 · Answer

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

anonymous · Answer

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

anonymous · Answer

Yo? Anyone there?

mathstudent55 · Answer

You are up to this point, right?

$ \sqrt{2x + 13} = x + 5$

anonymous · Answer

Yessir

mathstudent55 · Answer

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

mathstudent55 · Answer

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

mathstudent55 · Answer

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.

mathstudent55 · Answer

$ (\sqrt{2x + 13})^2 = (x + 5)^2$

$2x + 13 = (x + 5)(x + 5) $

Now on the right side you need to use FOIL.