Math, asked by kartiklodha48, 4 days ago

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

Answers

Answered by Anonymous
5

x2 + x - 2 = 0

x2 +2x - x - 2 = 0

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

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

x - 1 = 0 and x + 2 = 0

Hence, x = 1, -2.

Now, let α = 1 and β = -2,

1/α - 1/β

= 1/1 - 1/(-2)

= 1 + 1/2

= 3/2

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Answered by nilamkpatel1983
0

Answer:

your answer

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