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solve:- (x+1)(x+2)(x+3)(x+4)+1=0

solve:-


(x+1)(x+2)(x+3)(x+4)+1=0

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1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear sayan

(x+1)(x+2)(x+3)(x+4)+1=0

(x+1)(x+1+1)(x+3)(x+3+1)+1=0

[ (x+1)2 +(x+1) ][ (x+3)2 +(x+3)] +1 =0

(x+1)2(x+3)2 +(x+3)2(x+1) +(x+1)2(x+3) +(x+1)(x+3) +1=0

(x+1)2(x+3)2   +2(x+1)(x+3)(x+2) +(x+2)2 =0

[(x+1)(x+3) +(x+2)]2 =0

 [(x+1)(x+3) +(x+2)]=0

 x2 +5x +5 =0

 now solve for x

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Badiuddin

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