How do you solve $sqrt(2x - 14) = sqrt(x + 17)$ and find any extraneous solutions?

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Answer 1 · 2017-05-03T12:45:23

Take squares (of both sides) and then you will find $x=31$

Your equation indeed becomes $2x-14=x+17$ after getting rid of square roots.

It means

$2x-x=17+14$

or

$x=31$

This is your answer: $x=31$

How do you solve sqrt(2x - 14) = sqrt(x + 17)sqrt(2x - 14) = sqrt(x + 17) and find any extraneous solutions?