Simple question?√(2x+13)-5=x (Just need to check my answer)

Question

Simple question?√(2x+13)-5=x  (Just need to check my answer)

anonymous · Answer

Ok I know the first step is to add 5 to both sides: √(2x+13)=5x. But I can't remember how to go from there.

mathstudent55 · Answer

Correct. First add 5 to both sides. Then, square both sides to get rid of radical. Then solve equation. Then check all answers in original equation because squaring both sides may introduce extraneous solutions.

mathstudent55 · Answer

BTW, right side is x + 5, not 5x

anonymous · Answer

That's what I figured but I wasn't sure if it should look like this after it as squared: 4x+169=25+x. (Btw thanks for the correction :) )

mathstudent55 · Answer

Not quite. When you square a binomial there is another term.
(a + b)^2 = a^2 + 2ab + b^2

mathstudent55 · Answer

The left side is in a square root, so squaring it just removes the square root.

mathstudent55 · Answer

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