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

Posted by Riya ? 4 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Gaurav Seth 4 years, 11 months ago

"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)

1Thank You

Lucky Mehta 4 years, 11 months ago

to make Spiliting the middle term .

3Thank You

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CBSE > Class 10 > Mathematics