if alpha and beta are the zeroes of the polynomial p(x) =x²-3x+3k and alpha + beta =alpha ×beta then find the value of K
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Answer:
i hope it right
Step-by-step explanation:
The quadratic equation is x
2
−3x+3k=0
Sum of roots α+β=
a-b
=3
Product of roots α.β=
a×c
=3k
The given condition is α+β=α.β
⟹3=3k
⟹k=1
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