Question

If α and β are the zeros of the quadratic polynomial f(x) = x² + x - 2, find the value of (1/α) - (1/β) .

Answer 1

answer:-+(3/2) or -(3/2)

Step-by-step explanation:

Hey there,

"If alpha and beta are the zeroes of the polynomial"

Taking this into account

1/alpha - 1/beta = 1/0 - 1/0

= infinity - infinity

which is not defined

if incase

"If alpha and beta are the solutions of the polynomial"

x^2 + x - 2 =0

(x+2)(x -1) = 0

=> x= -2 or x =1

therefore (alpha,beta) = (1,-2) or (-2,1)

1/alpha - 1/beta = +(3/2) or -(3/2)

Hope this helps!

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