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

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Joined: 21 Mar 2013
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GMAT Date: 03-20-2014
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Kudos [?]: 40 [2] , given: 56

In the equation x^2+bx+c=0, b and c are constants, and x is [#permalink]  06 Mar 2014, 20:26
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In the equation $$x^2+bx+c=0$$, b and c are constants, and x is a variable. If m and k are the roots of $$x^2+bx+c=0$$, then m−k=?

(1) c=−10
(2) b=3
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Kudos [?]: 49919 [1] , given: 7511

Re: In the equation x^2+bx+c=0, b and c are constants, and x is [#permalink]  06 Mar 2014, 23:07
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Expert's post
idinuv wrote:
In the equation $$x^2+bx+c=0$$, b and c are constants, and x is a variable. If m and k are the roots of $$x^2+bx+c=0$$, then m−k=?

(1) c=−10
(2) b=3

Even when we combine the statements we get $$x^2+3x-10=0$$ --> $$(x+5)(x-2)=0$$ --> $$x=-5$$ or $$x=2$$ --> m and k are -5 and 2, but we don't know which one is which --> m-k is either -5-2=-7 or 2-(-5) = 7.

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Re: In the equation x^2+bx+c=0, b and c are constants, and x is   [#permalink] 06 Mar 2014, 23:07
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