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CEO  D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
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If sum of the roots of the equation x^2-5x+6 = 0 is a  [#permalink]

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Difficulty:   5% (low)

Question Stats: 84% (00:58) correct 16% (01:34) wrong based on 83 sessions

### HideShow timer Statistics If sum of the roots of the equation $$x^2 -5x+6 = 0$$ is $$a$$ and product fo the roots of the same equation is $$b$$ then find $$a^b$$

A) $$1$$
B) $$5^6$$
C) $$6^5$$
D) $$30$$
E) $$11$$

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If sum of the roots of the equation x^2-5x+6 = 0 is a  [#permalink]

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1
1
GMATinsight wrote:
If sum of the roots of the equation $$x^2 -5x+6 = 0$$ is $$a$$ and product fo the roots of the same equation is $$b$$ then find $$a^b$$

A) $$1$$
B) $$5^6$$
C) $$6^5$$
D) $$30$$
E) $$11$$

SOURCE: http://WWW.GMATINSIGHT.COM

Sum of roots $$=-(\frac{-5}{1})=5=a$$

Product of roots $$=\frac{6}{1}=6=b$$

therefore $$a^b=5^6$$

Option B
Intern  B
Joined: 28 Dec 2017
Posts: 30
Re: If sum of the roots of the equation x^2-5x+6 = 0 is a  [#permalink]

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x^2 - 5x + 6 = 0
(x - 3)(x - 2) = 0

Hence the roots are x = 3 and x = 2.
The problem states that the sum of the roots is equal to A. Hence A = 3 + 2 = 5.
The problem also states that the product of the roots is equal to B. Hence B = 3*2 = 6

The problem is looking for A^B. Hence, the answer is 5^6 (option B).
Intern  B
Joined: 21 Nov 2017
Posts: 6
Re: If sum of the roots of the equation x^2-5x+6 = 0 is a  [#permalink]

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sum of the roots formula is -b/a = -(-5)/1=5
in problem its is given as a soo a=5
product of roots is given as b
where its formula is c/a=6/1=6
b=6
a*b=5*6

option B
Intern  B
Joined: 01 Oct 2016
Posts: 5
Re: If sum of the roots of the equation x^2-5x+6 = 0 is a  [#permalink]

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Very simple one.
x^2 - (sum of squares)x+(product of squares) = 0

Hence 5^6 = B Re: If sum of the roots of the equation x^2-5x+6 = 0 is a   [#permalink] 25 Feb 2018, 12:04
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# If sum of the roots of the equation x^2-5x+6 = 0 is a  