If alpha and beta are the zeros of the polynomial f(x)=x2+x-2,find the value of (1/aplha-1/beta)

If alpha and beta are the zeros of the polynomial f(x)=x2+x-2,find the

1.	If alpha and beta are the zeros of the polynomial f(x)=x2+x-2,find the value of (1/aplha-1/beta)
Answer» Say A=Alfa,B=betasx\u200b\u200b\u200b\u200b\u200b\u200b2\u200b\u200b\u200b\u200b\u200b+x-2A+B= -1,AB=-21/A-1/B=(B-A)/AB{tex} = \\sqrt{((A+B)^2-4AB)} \\over AB{/tex}=√(1+8)/(-2)= -3/2