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Manager
Manager
Joined: 20 Aug 2009
Posts: 111
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Kudos [?]: 34 [0], given: 31

Equation [#permalink] New post 06 Sep 2009, 02:02
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For which p the equation has no solution?

Equation 1: x^2+7px-16=0

Equation 2: x^2-5px+13=0

Equation 3: x^2-4px-17=0

Equation 4: 3x^2-5px+13=0

I've made the prob myself. Have no OA.
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Joined: 19 Jul 2009
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Schools: McIntire, Fuqua, Villanova, Vandy, WashingtonU
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Kudos [?]: 9 [0], given: 4

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Re: Equation [#permalink] New post 06 Sep 2009, 17:07
a * x^2 + b * x + c = 0 does not have a solution in only one case: if b^2 - 4ac < 0.

Plugin your numbers and p's and solve that inequality. Example:
x^2 - 7px - 16 = 0
b^2 - 4ac = 49p^2 - 4 * 16
49p^2 - 4 * 16 < 0 well, your numbers are all screwed up, so the answers wont be pretty
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Re: Equation   [#permalink] 06 Sep 2009, 17:07
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