if alpha and beta are the zeros of the polynomial x square - 5 x + K such that Alpha minus beta equals to 1 find k
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Eqn=x^2-5x+K (a=1,b=-5,c=k)
α-β=1. (!)
α+β=-b/a=5. (!!)
Adding eqn ! $ !!
2α=6
α=3
β=2
Now, αβ=c/a= k
3×2= 6
Hence ,K=6
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