α & β are the roots of eqn. x 2 -p(1+x)-c =0 find value of ( α 2 +2α+1/α 2 +2α+c ) + (β 2 +2β+1/β 2 +2β+c ) 1) 1 2) 2 3) 3 4) None of these

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&alpha; & &beta; are the roots of eqn. x 2 -p(1+x)-c =0 find value of ( &alpha; 2 +2&alpha;+1/&alpha; 2 +2&alpha;+c ) + (&beta; 2 +2&beta;+1/&beta; 2 +2&beta;+c ) 1) 1 2) 2 3) 3 4) None of these

Badiuddin askIITians.ismu Expert · Answer

Dear Mayank x 2 -p(1+x)-c =0 &alpha; & &beta; are the roots of eqn &alpha; 2 -p(1+ &alpha; )-c =0 or &alpha; 2 =p(1+ &alpha; ) +c &beta; 2 -p(1+ &beta; )-c =0 or &beta; 2 =p(1+ &beta; ) +c and &alpha; + &beta; = p &alpha; *&beta; =-p-c NOw ( &alpha; 2 +2&alpha;+1/&alpha; 2 +2&alpha;+c ) + (&beta; 2 +2&beta;+1/&beta; 2 +2&beta;+c ) or 1 + (c-1)/( &alpha; 2 +2&alpha;+c ) + 1 + (c-1)/ (&beta; 2 +2&beta;+c ) or 2 +(c-1)[1/ ( &alpha; 2 +2&alpha;+c ) +1/ (&beta; 2 +2&beta;+c )] or 2 + (c-1)[ ( &alpha; 2 +2&alpha;+c ) + (&beta; 2 +2&beta;+c ) ]/ ( &alpha; 2 +2&alpha;+c ) ( &beta; 2 +2&beta;+c ) or 2 + (c-1) [ &alpha; 2 + &beta; 2 +2( &alpha;+ &beta;)+2c]/[ &alpha; 2 &beta; 2 + 2&alpha; &beta;( &alpha; +&beta;) +c( &alpha; 2 + &beta; 2 )+4 &alpha; &beta;+2c( &alpha; +&beta;) +c 2 ] put the value 2 + -1 =1 Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation. All the best. Regards, Askiitians Experts Badiuddin

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α & β are the roots of eqn. x 2 -p(1+x)-c =0 find value of ( α 2 +2α+1/α 2 +2α+c ) + (β 2 +2β+1/β 2 +2β+c ) 1) 1 2) 2 3) 3 4) None of these

α & β are the roots of eqn. x²-p(1+x)-c =0

find value of ( α²+2α+1/α²+2α+c ) + (β²+2β+1/β²+2β+c )

1) 1

2) 2

3) 3

4) None of these

1 Answers

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α & β are the roots of eqn. x 2 -p(1+x)-c =0 find value of ( α 2 +2α+1/α 2 +2α+c ) + (β 2 +2β+1/β 2 +2β+c ) 1) 1 2) 2 3) 3 4) None of these

α & β are the roots of eqn. x2-p(1+x)-c =0 find value of ( α2+2α+1/α2+2α+c ) + (β2+2β+1/β2+2β+c ) 1) 1 2) 2 3) 3 4) None of these

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α & β are the roots of eqn. x²-p(1+x)-c =0

find value of ( α²+2α+1/α²+2α+c ) + (β²+2β+1/β²+2β+c )

1) 1

2) 2

3) 3

4) None of these