Question

if alfa and bita are the zeros of the polynomial f(x)=x2+x-2find the value of (1/alfa-1/bita)
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Answer 1

Answer:

-3/2

Step-by-step explanation:

f(x) = x^2 +x -2

=> x^2 + ( 2-1 )x -2

=>. x(x+2) - 1 (x+2)

=>. (x+2) (x -1)

=>. X = -2 or X = 1

=>. Let Alpha = -2

Beta. = 1

=>. Now ,

1/ Alpha - 1/ Beta

1/-2 - 1/1

=>. -3/2

Hope it's helpful..