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If the difference between the roots of the equation`\ x^2+a x+8=0` is 2, write the values of `adot`

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Verified by Experts

The correct Answer is:
`alpha =+- 6`
`given x^{2}+a x+8=0 anda -beta=2`
Also from given equation `alpha beta=8`
As` alpha-beta=2`
Then a cdot `frac{8}{alpha}=2`

`&a^{2}-2 a-8=0`
`&(a-4)(alpha+2)=0`
...
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