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Grade Select Grade10 grade maths

if alpha and beta are the zeros of a quadratic polynomial 3x2+5x+7 , then 1/alpha cu. + 1/beta cu. is ?

Profile image of Shruti Yadav
11 Years agoGrade Select Grade
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2 Answers

Profile image of Suresh Godi
11 Years ago
1/a3 + 1/b3 = (a3 + b3 )/(ab)3 = [(a+b)3 -3ab(a+b)] / (ab) .
 
ab = product of the roots
a+b = sum of the roots
Profile image of Suresh Godi
11 Years ago
1/a3 + 1/b3 = (a3 + b3 )/(ab)3 = [(a+b)3 -3ab(a+b)] / (ab) .
 
ab = product of the roots
a+b = sum of the roots