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

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Joined: 23 Feb 2015
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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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06 Dec 2019, 08:44
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15% (low)

Question Stats:

90% (01:36) correct 10% (01:37) wrong based on 31 sessions

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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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Joined: 02 Aug 2009
Posts: 8340
Re: The range of values of X for which √(x-x^2+12)≥0 is valid is:  [#permalink]

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08 Dec 2019, 06:04
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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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
$$–3 ≤ X ≤ 4$$

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) $$–3 ≤ X ≤ –10$$
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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