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

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- May 25th 2012, 05:43 AMkingsolomonsgravesolving algebraic equations with square roots
im trying to solve (x^0.5 - 1)/(x-1) = 0.25 for x

- May 25th 2012, 06:33 AMPlatoRe: solving algebraic equations with square roots
- May 25th 2012, 06:49 AMkingsolomonsgraveRe: solving algebraic equations with square roots
thanks! how did you know to rationalize the numerator?

- May 25th 2012, 06:52 AMPlatoRe: solving algebraic equations with square roots
- May 25th 2012, 07:58 AMskeeterRe: solving algebraic equations with square roots
if you have the knack for factoring ...

$\displaystyle \frac{\sqrt{x} - 1}{x - 1} = \frac{\sqrt{x} - 1}{(\sqrt{x} - 1)(\sqrt{x}+1)}$