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If the equation ax^2+x+b=0 and x^2+bx+a=...

If the equation `ax^2+x+b=0` and `x^2+bx+a=0` a have common root and the second Equation has equal roots, then `2a^2+b`:

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the given equations are `ax^2+x+b=0 & x^2+bx+a = 0`
let `alpha ` be the common root
then`alpha^2/(a-b^2) = -alpha/(a^2-b)= 1/(ab-1)`
`alpha= -(a^2-b)/(ab-1)`
`alpha = (b- a^2)/(ab-1)`eqn(1)
now, `b^2-4(1)(a) = 0`
`b^2= 4a`
sum of roots`=2alpha = -b`
...
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