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# In the equation x^2+b·x+c=0, b and c are constants, and x is a variabl

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Intern
Joined: 06 Jun 2014
Posts: 11
In the equation x^2+b·x+c=0, b and c are constants, and x is a variabl  [#permalink]

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Updated on: 24 Jan 2016, 21:55
3
00:00

Difficulty:

65% (hard)

Question Stats:

38% (01:59) correct 62% (02:08) wrong based on 30 sessions

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In the equation x^2+b·x+c=0, b and c are constants, and x is a variable. If m is a root of x^2+b·x+c=0, and (x+n) is a factor of x^2+b·x+c=0, then b=

A) m·n
B) m−n
C) m+n
D) n−m
E) m

Originally posted by vinoo7 on 24 Jan 2016, 07:09.
Last edited by Bunuel on 24 Jan 2016, 21:55, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
Joined: 02 Aug 2009
Posts: 7099
Re: In the equation x^2+b·x+c=0, b and c are constants, and x is a variabl  [#permalink]

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24 Jan 2016, 08:20
1
1
vinoo7 wrote:
In the equation x2+b·x+c=0, b and c are constants, and x is a variable. If m is a root of x2+b·x+c=0, and (x+n) is a factor of x2+b·x+c=0, then b=

m·n

m−n

m+n

n−m

m

OA n-m

Hi,
the equation is x^2+bx+c=0..
this equation will have two roots...
it is given that m is a root ..
secondly (x+n) is a factor, which means -n is another root..

now we are asked what is b..
in x^2+bx+c=0, the sum of roots = -b/a...
here a=1, so sum of roots=-b..
roots are m and -n, so m+(-n)=-b..
m-n=-b, or b=n-m...

hope it helps
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: In the equation x^2+b·x+c=0, b and c are constants, and x is a variabl  [#permalink]

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24 Jan 2016, 13:59
vinoo7 wrote:
In the equation x2+b·x+c=0, b and c are constants, and x is a variable. If m is a root of x2+b·x+c=0, and (x+n) is a factor of x2+b·x+c=0, then b=

A)m·n

B)m−n

C)m+n

D)n−m

E)m

Make sure to follow all posting guidelines (link in my signatures) including complete question, all options and atleast 3 tags (1 each for source, difficulty and topic).
Re: In the equation x^2+b·x+c=0, b and c are constants, and x is a variabl &nbs [#permalink] 24 Jan 2016, 13:59
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