If the square of the sum of the roots of a quadratic equation : Problem Solving (PS)

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

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Joined: 22 Apr 2015

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

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Updated on: 06 May 2015, 23:19

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Difficulty:

55% (hard)

Question Stats:

55% (01:39) correct

45% (01:53) wrong

based on 114 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

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, 09:24.
Last edited by PrepTap on 06 May 2015, 23:19, 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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01 May 2015, 11:41

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

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10 Feb 2016, 18:36

PrepTap wrote:

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

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, 12:11

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