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

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Manager
Joined: 22 Apr 2015
Posts: 63
If the square of the sum of the roots of a quadratic equation  [#permalink]

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Updated on: 07 May 2015, 00:19
4
00:00

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.

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.
Manager
Joined: 17 Mar 2015
Posts: 115
Re: If the square of the sum of the roots of a quadratic equation  [#permalink]

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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.
D
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Location: United States (IL)
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Re: If the square of the sum of the roots of a quadratic equation  [#permalink]

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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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22 Feb 2018, 13:11
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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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