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# In the xy-plane, at how many points do line y = 6 and curve

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Manager
Joined: 04 Jan 2008
Posts: 118

Kudos [?]: 108 [0], given: 0

In the xy-plane, at how many points do line y = 6 and curve [#permalink]

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15 Sep 2008, 03:16
00:00

Difficulty:

(N/A)

Question Stats:

100% (02:15) correct 0% (00:00) wrong based on 1 sessions

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In the xy-plane, at how many points do line y = 6 and curve $$y=|x^2-x-6|$$ intersect?

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Kudos [?]: 108 [0], given: 0

Director
Joined: 12 Jul 2008
Posts: 514

Kudos [?]: 166 [0], given: 0

Schools: Wharton

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15 Sep 2008, 03:32
dancinggeometry wrote:
In the xy-plane, at how many points do line y = 6 and curve $$y=|x^2-x-6|$$ intersect?

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E

6 = x^2 - x - 6
0 = x^2 - x - 12
0 = (x-4)(x+3)
x = 4 or -3

OR

-6 = x^2 - x - 6
0 = x^2 - x
0 = x*(x-1)
x = 0 or 1

Kudos [?]: 166 [0], given: 0

Re: Zumit PS 019   [#permalink] 15 Sep 2008, 03:32
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