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# Is (6a + x^2)^(1/2) = a + x ?

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Math Expert
Joined: 02 Sep 2009
Posts: 41875

Kudos [?]: 128459 [0], given: 12173

Is (6a + x^2)^(1/2) = a + x ? [#permalink]

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02 Oct 2017, 00:03
00:00

Difficulty:

55% (hard)

Question Stats:

50% (01:13) correct 50% (01:20) wrong based on 12 sessions

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Is $$\sqrt{6a + x^2} = a + x$$ ?

(1) x is not a positive integer.
(2) a is a negative integer.
[Reveal] Spoiler: OA

_________________

Kudos [?]: 128459 [0], given: 12173

Senior Manager
Joined: 25 Feb 2013
Posts: 385

Kudos [?]: 163 [0], given: 31

Location: India
GPA: 3.82
Is (6a + x^2)^(1/2) = a + x ? [#permalink]

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02 Oct 2017, 04:23
Bunuel wrote:
Is $$\sqrt{6a + x^2} = a + x$$ ?

(1) x is not a positive integer.
(2) a is a negative integer.

Statement 1: Nothing mentioned about $$a$$, hence the value cannot be calculated. $$x$$ is either $$0$$ or a negative no. Insufficient

Statement 2: nothing mentioned about x, hence value cannot be calculated. Insufficient

Combining 1 & 2, we know that x=0 or x<0 and a<0 so a+x<0. So RHS is always negative.
But LHS of the question stem is a square root which is always positive. Hence LHS is not equal to RHS. Sufficient

Option C

Kudos [?]: 163 [0], given: 31

Is (6a + x^2)^(1/2) = a + x ?   [#permalink] 02 Oct 2017, 04:23
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