Question

If alpha beta gamma are the zeros of polynomial x3-px2+qx-r then find 1\alpha beta + 1\beta gamma + 1\alpha gamma

Answer 1

first of all u have to take

the LCM. of 1/alpha+beta+ 1\beta gamma + 1\alpha gamma

the by the formula given below

u can find the zeros

alpha.beta+beta.gamma+gamma.alpha=c/a

alpha+beta+gamma=b/a

alpha.beta.gama=d/a

i hope this help u