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If √(x-6)^2 = 6-x, then which of the following must be true?

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If √(x-6)^2 = 6-x, then which of the following must be true?  [#permalink]

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New post 16 Mar 2020, 22:47
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A
B
C
D
E

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  55% (hard)

Question Stats:

46% (01:27) correct 54% (01:04) wrong based on 24 sessions

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If \(√(x-6)^2 = 6-x\), then which of the following must be true?

A) x = 6
B) x < 6
C) x ≤ 6
D) x ≥ 6
E) x = 0

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If √(x-6)^2 = 6-x, then which of the following must be true?  [#permalink]

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New post 16 Mar 2020, 23:08
PratapSingh wrote:
A

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PratapSingh
Since x = 5 also satisfies the given expression hence, x=6 can not qualify for MUST BE TRUE

You may try again. :) :thumbup:

But welcome to Gmat Club :) :thumbup:
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Re: If √(x-6)^2 = 6-x, then which of the following must be true?  [#permalink]

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New post 19 Mar 2020, 04:34
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GMATinsight wrote:
If \(√(x-6)^2 = 6-x\), then which of the following must be true?

A) x = 6
B) x < 6
C) x ≤ 6
D) x ≥ 6
E) x = 0

Source: www.GMATinsight.com


\(√(x-6)^2 = 6-x\)

√x-6)^2 = lx-6l

lx-6l=6-x
we get
x-6=6-x
2x=12 ; x=6
and
-x+6=6-x ; 0
so
0=x<=6
IMO C; x ≤ 6
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Re: If √(x-6)^2 = 6-x, then which of the following must be true?   [#permalink] 19 Mar 2020, 04:34

If √(x-6)^2 = 6-x, then which of the following must be true?

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