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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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VP
Status: Preparing for the GMAT
Joined: 02 Nov 2016
Posts: 1300

Kudos [?]: 1130 [0], given: 547

Location: Pakistan
GPA: 3.4
If x < 0 and y is 5 more than the square of x, which one of the follow [#permalink]

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17 Oct 2017, 10:56
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25% (medium)

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69% (00:50) correct 31% (00:43) wrong based on 67 sessions

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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 = −$$\sqrt{y^2 − 5}$$
[Reveal] Spoiler: OA

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Kudos [?]: 1130 [0], given: 547

Director
Joined: 25 Feb 2013
Posts: 619

Kudos [?]: 304 [1], given: 39

Location: India
GPA: 3.82
Re: If x < 0 and y is 5 more than the square of x, which one of the follow [#permalink]

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17 Oct 2017, 11:41
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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 = −$$\sqrt{y^2 − 5}$$

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

Kudos [?]: 304 [1], given: 39

Re: If x < 0 and y is 5 more than the square of x, which one of the follow   [#permalink] 17 Oct 2017, 11:41
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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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