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If x < 0 and y is 5 more than the square of x, which one of the follow

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SVP
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If x < 0 and y is 5 more than the square of x, which one of the follow  [#permalink]

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New post 17 Oct 2017, 10:56
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Question Stats:

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If x < 0 and y is 5 more than the square of x, which one of the following expresses x in terms of y?

(A) x = \(\sqrt{y − 5}\)
(B) x = −\(\sqrt{y − 5}\)
(C) x = \(\sqrt{y + 5}\)
(D) x = \(\sqrt{y^2 − 5}\)
(E) x = −\(\sqrt{y^2 − 5}\)

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Re: If x < 0 and y is 5 more than the square of x, which one of the follow  [#permalink]

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New post 17 Oct 2017, 11:41
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SajjadAhmad wrote:
If x < 0 and y is 5 more than the square of x, which one of the following expresses x in terms of y?

(A) x = \(\sqrt{y − 5}\)
(B) x = −\(\sqrt{y − 5}\)
(C) x = \(\sqrt{y + 5}\)
(D) x = \(\sqrt{y^2 − 5}\)
(E) x = −\(\sqrt{y^2 − 5}\)


Given \(y=5+x^2 => x^2=y-5\)

Hence \(x= ±\sqrt{y-5}\), but as \(x<0\) i.e negative so

\(x =\) −\(\sqrt{y − 5}\)

Option B
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Re: If x < 0 and y is 5 more than the square of x, which one of the follow  [#permalink]

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New post 30 May 2018, 23:28
SajjadAhmad wrote:
If x < 0 and y is 5 more than the square of x, which one of the following expresses x in terms of y?

(A) x = \(\sqrt{y − 5}\)
(B) x = −\(\sqrt{y − 5}\)
(C) x = \(\sqrt{y + 5}\)
(D) x = \(\sqrt{y^2 − 5}\)
(E) x = −\(\sqrt{y^2 − 5}\)



x < 0 and y = x^2 + 5

\(- x\) = \(\sqrt{y - 5}\)

\(x\) = \(-\sqrt{y - 5}\)

(B)
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Re: If x < 0 and y is 5 more than the square of x, which one of the follow  [#permalink]

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New post 01 Jun 2018, 10:24
SajjadAhmad wrote:
If x < 0 and y is 5 more than the square of x, which one of the following expresses x in terms of y?

(A) x = \(\sqrt{y − 5}\)
(B) x = −\(\sqrt{y − 5}\)
(C) x = \(\sqrt{y + 5}\)
(D) x = \(\sqrt{y^2 − 5}\)
(E) x = −\(\sqrt{y^2 − 5}\)


We can create the equation:

x^2 + 5 = y

x^2 = y - 5

x =±√(y - 5)

However, since x is negative we have:

x = -√(y - 5)

Answer: B
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Re: If x < 0 and y is 5 more than the square of x, which one of the follow &nbs [#permalink] 01 Jun 2018, 10:24
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If x < 0 and y is 5 more than the square of x, which one of the follow

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