Question

If alpha beta are the zeroes of the poynomial f(x)=xsquare-5x+k such that alpha - beta =1 find k?

Answer 1

Answer is given above attachment ...

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Answer 2

Hey!
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Question = f(x) = x² - 5x + k

Given :-

α - β = 1

Sum of zero = -(coefficient of x ÷ coefficient of x²)

α + β = -b ÷ a

Product of zero = constant term ÷ coefficient of x²

α.β = c ÷ a

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Now :-

α + β = -(-5) ÷ 1

α.β = K ÷ 1

α - β = 1

α + β = 5

α = 3

β = 2

Now value of K :-

=> α.β = K

=> 3 × 2 = K

=> 6 = K

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Cybary

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