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If 2alpha and 3beta are the roots of the...

If `2alpha` and `3beta` are the roots of the equation `x^(2) + az +b = 0`, then find the equation whose roots are `a,b`.

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The correct Answer is:
`x^(2) - (6alphabeta-2alpha-3beta) x - (2alpha+3beta)(6alphabeta) = 0`
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