SOLUTION: Please help me solve. I'm stuck. (y/y-1)^2=6(y/y-1)+7

Question 785664: Please help me solve. I'm stuck.
(y/y-1)^2=6(y/y-1)+7
Found 2 solutions by stanbon, xinxin:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(y/y-1)^2=6(y/y-1)+7
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Let y/(y-1) = w
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Substitute to get:
w^2-6w-7 = 0
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Factor:
(w-7)(w+1) = 0
x = 7 or w = -1
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Solve for "y":
y/(y-1) = 7 or y/(y-1) = -1
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y = 7y-7 or y = 1-y
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6y = 7 or 2y = 1
y = 7/6 or y = 1/2
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Cheers,
Stan H.

Answer by xinxin(76) (Show Source): You can put this solution on YOUR website!
Let (y/y-1) = A, then:
A^2 = 6A +7
Solve for A, get A = 7 or A = -1.
When A = 7, y/y-1 = 7, y = 7/6; when A = -1, y/y-1 = -1, y = 1/2

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