solving algebraic equations with square roots

im trying to solve (x^0.5 - 1)/(x-1) = 0.25 for x

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Originally Posted by kingsolomonsgrave

im trying to solve (x^0.5 - 1)/(x-1) = 0.25 for x

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Notice that

So solve

thanks! how did you know to rationalize the numerator?

Quote:

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Originally Posted by kingsolomonsgrave

thanks! how did you know to rationalize the numerator?

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Years and Years of experience.

if you have the knack for factoring ...