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Mathematics 15 Online
OpenStudy (anonymous):

Solve the following radical equation.

OpenStudy (anonymous):

\[\sqrt{5x+5}=\sqrt{4x-7+2}\]

OpenStudy (mertsj):

Square both sides

OpenStudy (mertsj):

\[5x+5=4x-7+2\]

OpenStudy (anonymous):

That is the answer?

OpenStudy (mertsj):

\[5x+5=4x-5\]

OpenStudy (mertsj):

\[x=-10\]

OpenStudy (anonymous):

Thanks man!

OpenStudy (mertsj):

But if x is -10, the radicand is negative. So; NO SOLUTION

OpenStudy (anonymous):

Can you help me with this other one i just posted link?

OpenStudy (mertsj):

You always have to check the solutions to a radical equation because the squaring process frequently introduces an extraneous root.

OpenStudy (anonymous):

Oh that makes sense.

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