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If the square of the sum of the roots of a quadratic equation

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If the square of the sum of the roots of a quadratic equation  [#permalink]

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New post Updated on: 07 May 2015, 00:19
4
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

55% (01:37) correct 45% (01:51) wrong based on 121 sessions

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If the square of the sum of the roots of a quadratic equation is less than their product, the roots are

    A. Even
    B. Odd
    C. Negative
    D. Not real
    E. Can’t say

This question is a part of the series of original questions posted by PrepTap. Follow us to receive more questions like this.
Spoiler: OA

Originally posted by PrepTap on 01 May 2015, 10:24.
Last edited by PrepTap on 07 May 2015, 00:19, edited 1 time in total.
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Re: If the square of the sum of the roots of a quadratic equation  [#permalink]

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New post 01 May 2015, 12:41
1
using the Viet theorem: x1 + x2 = -b/a, x1*x2 = c/a where a,b and c are from the quadric equation a*x^2 + b*x + c = 0
(b/a)^2 < c/a or b^2 < a*c < 4*a*c which means that b^2 - 4*a*c (discriminant) is negative which means that the roots ain't real.
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Re: If the square of the sum of the roots of a quadratic equation  [#permalink]

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New post 10 Feb 2016, 19:36
PrepTap wrote:
If the square of the sum of the roots of a quadratic equation is less than their product, the roots are

    A. Even
    B. Odd
    C. Negative
    D. Not real
    E. Can’t say

This question is a part of the series of original questions posted by PrepTap. Follow us to receive more questions like this.


it's a very strange question...I went with D.
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Re: If the square of the sum of the roots of a quadratic equation  [#permalink]

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Re: If the square of the sum of the roots of a quadratic equation   [#permalink] 22 Feb 2018, 13:11
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