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If x = 9 is one solution to the quadratic x^2 − yx + 27 = 0, what is

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Joined: 02 Sep 2009
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If x = 9 is one solution to the quadratic x^2 − yx + 27 = 0, what is  [#permalink]

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15 Feb 2017, 02:27
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25% (medium)

Question Stats:

79% (00:52) correct 21% (00:51) wrong based on 50 sessions

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If x = 9 is one solution to the quadratic x^2 − yx + 27 = 0, what is the value of y?

A. −12
B. −3
C. 3
D. 6
E. 12

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Joined: 13 Apr 2010
Posts: 89
Re: If x = 9 is one solution to the quadratic x^2 − yx + 27 = 0, what is  [#permalink]

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15 Feb 2017, 02:54
Bunuel wrote:
If x = 9 is one solution to the quadratic x^2 − yx + 27 = 0, what is the value of y?

A. −12
B. −3
C. 3
D. 6
E. 12

Substitute x = 9 in the Quadratic equation .
81 - 9y + 27 = 0
y = 108/9
y = 12

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Re: If x = 9 is one solution to the quadratic x^2 − yx + 27 = 0, what is  [#permalink]

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15 Feb 2017, 03:04
Bunuel wrote:
If x = 9 is one solution to the quadratic x^2 − yx + 27 = 0, what is the value of y?

A. −12
B. −3
C. 3
D. 6
E. 12

x^2 − yx + 27 = 0
If x = 9
81-9y+27=0
9y=108
y=12

Hence Option E is correct
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Re: If x = 9 is one solution to the quadratic x^2 − yx + 27 = 0, what is  [#permalink]

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15 Feb 2017, 07:23
Bunuel wrote:
If x = 9 is one solution to the quadratic x^2 − yx + 27 = 0, what is the value of y?

A. −12
B. −3
C. 3
D. 6
E. 12

Plug in the value of x = 9 and check -

$$9^2 − 9y + 27 = 0$$

Or, $$9y = 108$$

So, y = 12

Hence, correct answer must be (E) $$y = 12$$
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Abhishek....

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Joined: 07 Dec 2014
Posts: 1153
If x = 9 is one solution to the quadratic x^2 − yx + 27 = 0, what is  [#permalink]

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15 Feb 2017, 15:10
Bunuel wrote:
If x = 9 is one solution to the quadratic x^2 − yx + 27 = 0, what is the value of y?

A. −12
B. −3
C. 3
D. 6
E. 12

we know 27 is a multiple of 9
27/9=3
we know signs of both numbers are negative
(x-9)(x-3)=x^2-12x+27=0
y=12
If x = 9 is one solution to the quadratic x^2 − yx + 27 = 0, what is &nbs [#permalink] 15 Feb 2017, 15:10
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