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Algebra

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Joined: 25 Feb 2007
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25 Feb 2007 15:25:28 IST
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quadratic equation
None

x2+(a+b)+1-a-b=0,a,bR,FIND ALL VALUES OF a


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atif alam's Avatar

Cool goIITian

Joined: 14 Feb 2007
Posts: 33
25 Feb 2007 16:18:17 IST
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is d Qn. given by u is correct.
acc to Qn. given by u the ans is aR
Manasi's Avatar

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Joined: 1 Dec 2006
Posts: 2108
25 Feb 2007 16:50:35 IST
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yeah thr's some mistake in question, pls correct it!!
ankur khurana's Avatar

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Joined: 13 Feb 2007
Posts: 1029
26 Feb 2007 09:02:11 IST
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yeah they a and b are cancelling out
Bipin Dubey's Avatar

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Joined: 23 Jan 2007
Posts: 7942
26 Feb 2007 19:11:12 IST
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I think the correct equation is  x2 + (a+b)x + (1-a-b) = 0   where (a,b,x)  R
 
Discriminant >= 0
=>   (a+b)2 - 4(1-a-b) = 0
=>   b2 + (2a+4)b + (a2 + 4a - 4) >= 0
 
Since coefficient of b2 is positive hence discriminant of above equation should be less than zero.
 
=>   (2a + 4)2 - 4(a2 + 4a - 4) <= 0
=>   16 <= 0
 
which is not possible.
 
Hence no real values of a exist.
 
Best Wishes



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