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The range of values of X for which √(x-x^2+12)≥0 is valid is:

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The range of values of X for which √(x-x^2+12)≥0 is valid is:  [#permalink]

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New post 06 Dec 2019, 08:44
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The range of values of X for which \(√(x-x^2+12)≥0\) is valid is:
A) \(–3 ≤ X ≤ 4\)
B) \(3 ≤ X ≤ 5\)
C) \(–4 ≤ X ≤ 3\)
D) \(–3 ≤ X ≤ –1\)
E) \(–3 ≤ X ≤ –10\)

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Re: The range of values of X for which √(x-x^2+12)≥0 is valid is:  [#permalink]

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New post 08 Dec 2019, 06:04
Asad wrote:
The range of values of X for which \(√(x-x^2+12)≥0\) is valid is:
A) \(–3 ≤ X ≤ 4\)
B) \(3 ≤ X ≤ 5\)
C) \(–4 ≤ X ≤ 3\)
D) \(–3 ≤ X ≤ –1\)
E) \(–3 ≤ X ≤ –10\)


\(x-x^2+12≥0........x^2-x-12 ≤0.......(x-4)(x+3) ≤0\)
so \(–3 ≤ x ≤ 4\)

A
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Re: The range of values of X for which √(x-x^2+12)≥0 is valid is:  [#permalink]

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New post 08 Dec 2019, 08:23
\(√(x-x^2+12)≥0\)
can be written as
(x-x^2+12)=0
(x-4) (x+3)
x=4 and x =-3
IMO A
\(–3 ≤ X ≤ 4\)

Asad wrote:
The range of values of X for which \(√(x-x^2+12)≥0\) is valid is:
A) \(–3 ≤ X ≤ 4\)
B) \(3 ≤ X ≤ 5\)
C) \(–4 ≤ X ≤ 3\)
D) \(–3 ≤ X ≤ –1\)
E) \(–3 ≤ X ≤ –10\)
GMAT Club Bot
Re: The range of values of X for which √(x-x^2+12)≥0 is valid is:   [#permalink] 08 Dec 2019, 08:23
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