α and β are roots of x^{2} - 5x + 3 (K-1)=0 such that α-β=11, find k
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Step-by-step explanation:
a+b=-b/a
=5
ab=c/a
=3k-3/1
=3k-3
given that a-b=11
a+b=5
a-b=11
2a=16
a=8
a+b=5
b=5-a
=5-8
=-3
ab=3k-3
8(-3)=3k-3
-24=3k-3
3k=-21
k=-7
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