Question

If α and β are the zeros of the quadratic polynomial p(x)=x²-2x+3, then (1/α)-(1/β)=?

answer with explantion

no irrelevant answers please, ​

Answer 1

Answer:

alpha +beta =-b/a=2

alpha×beta=c/a=3

then,

(1/apha)-(1/beta)

=(beta-alpha)/alpha×beta

=-((beta+alpha)/alpha×beta

=-2/3 (beta+alpha=2 & alpha× beta=3)