SOLUTION: sqrt(2p-1) + sqrt(p-1)=1

Question 830833: sqrt(2p-1) + sqrt(p-1)=1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
sqrt(2p-1) + sqrt(p-1)=1
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Square both sides to get:
2p-1 + p-1 + 2sqrt[(p-1)(2p-2)] = 1
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3p-3 = 2sqrt[(p-1)(2p-2)]
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Square both sides:
9p^2 - 18p + 9 = 4(p-1)(2p-2)
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9p^2 -18p + 9 = 8(p^2-3p+2)
9p^2 -18p + 9 = 8p^2 - 24p + 16
p^2 + 6p -7 = 0
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Factor:
(p+7)(p-1) = 0
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Possible solutions: p = 1 or p = -7
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Check each of the possible solutions in the original equation.
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Cheers,
Stan H.
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