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Algebra

Hot goIITian

Joined: 9 Mar 2010
Post: 142
9 Mar 2010 17:27:49 IST
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4x2+5y=6+20xy-25y2+2x;;;;7x-11y=17...plz solve,,..
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4x2+5y=6+20xy-25y2+2x;;;;7x-11y=17...plz solve,,..


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aal izz well's Avatar

Blazing goIITian

Joined: 6 Jun 2009
Posts: 409
9 Mar 2010 18:14:20 IST
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arranging the given equation

4x^2+25y^2-20xy=6+2x-5y

(2x-5y)^2=6+(2x-5y)

in above eq.    take 2x-5y=t

t^2-t-6=0

therefore we hve, t=3 and t=-2

2x-5y=3...eq.M.....and  2x-5y=-2-------eq.K

solving the above two equations with given eq.   i.e., 7x-11y=17

we get answers as  x=4 and y=1 from solving eq. eq.M and given eq.

and similarly u can find the other set of answers from eq.K and given eq,..




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