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If alpha amd beta are the roots of the e...

If `alpha` amd `beta` are the roots of the equation `3x^(2) - 2x - 8 = 0` then `alpha^(2) + alpha beta + beta^(2) = "_____"`.

A

`(76)/(9)`

B

`(25)/(3)`

C

`(16)/(3)`

D

`(32)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
find `alphabeta` and `(alpha+beta)` and use, `alpha^(2) - alphabeta + beta^(2) (alpha + beta)^(2) - 3alphabeta`
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