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

+1 vote
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asked Jan 31, 2018 in Mathematics by sforrest072 (157,439 points) 60 409 933
edited Jan 31, 2018 by sforrest072

If α​ and β​ are the zeros of the quadratic polynomial f(x) = x2 + x − 2, find the value of

1/α-1/β

1 Answer

+1 vote
answered Jan 31, 2018 by mdsamim (213,225 points) 5 10 15
 
Best answer

Since and are the roots of the polynomial x2 + x – 2
∴ Sum of roots α + β = 1

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