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If 1,2,3,4 are the roots of (x^4)+a(x^3)+b(x^2)+cx+d=0,then find the value of d.

If 1,2,3,4 are the roots of (x^4)+a(x^3)+b(x^2)+cx+d=0,then find the value of d.

Grade:12

2 Answers

SAGAR SINGH - IIT DELHI
879 Points
12 years ago

Dear aparna

Since  1,2,3,4 are the roots of (x^4)+a(x^3)+b(x^2)+cx+d=0

Therefore

1+a+b+c+d=0 -1)

16+8a+4b+2c+d=0 -2)

81+27a+9b+3c+d=0 -3)

256+64a+16b+4c+d=0-4)

 We have 4 equations and 4 unknowns,  From these equations calculate the value of a,b,c,d

 

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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

jagdish singh singh
173 Points
12 years ago

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