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If (5 + y)/(3 - y) = y then what is the value of y^2 - 2y + 5

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If (5 + y)/(3 - y) = y then what is the value of y^2 - 2y + 5  [#permalink]

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New post Updated on: 13 May 2018, 23:41
1
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (01:28) correct 14% (02:18) wrong based on 75 sessions

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If \(\frac{(5 + y)}{(3 - y)} = y\) then what is the value of \(y^{2} - 2y + 5\)

A. -5
B. -3
C. 0
D. 3
E. 5

Originally posted by Ekland on 13 Feb 2016, 04:58.
Last edited by Bunuel on 13 May 2018, 23:41, edited 2 times in total.
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Re: If (5 + y)/(3 - y) = y then what is the value of y^2 - 2y + 5  [#permalink]

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New post 13 Feb 2016, 11:02
1
(5+y)/(3-y) = y
=>5+y = 3y - y^2
=>y^2 - 2y + 5 = 0

Answer C
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Re: If (5 + y)/(3 - y) = y then what is the value of y^2 - 2y + 5  [#permalink]

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New post 14 Jul 2018, 18:15
Ekland wrote:
If \(\frac{(5 + y)}{(3 - y)} = y\) then what is the value of \(y^{2} - 2y + 5\)

A. -5
B. -3
C. 0
D. 3
E. 5


Simplifying the equation, we have:

5 + y = 3y - y^2

y^2 - 2y + 5 = 0

Answer: C
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Re: If (5 + y)/(3 - y) = y then what is the value of y^2 - 2y + 5 &nbs [#permalink] 14 Jul 2018, 18:15
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