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If alpha and beta are the zeroes of the ...

If `alpha` and `beta` are the zeroes of the polynomial `kx^2+4x+4`, such that `alpha^2+beta^2=24`. find the value of k.

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`alpha,beta`
`x^2+4x+3=0`
`alpha+beta=-4`
`alphabeta=3`
`1+beta/alpha+1+alpha/beta`
`2+(beta^2+alpha^2)/(alphabeta)`
`2+((alpha+beta)^2-2alphabeta)/(alphabeta)`
`2+(16-6)/3`
...
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