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if alpha and beta are the zeroes of polynomial f(x)=x^2-5x+4 ,find the value of 1/alpha+1/beta-2×alpha×beta |
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Answer» P(X)=x²-4x-x+4=0 x(x-4)-1(x-4)=0 (x-4)(x-1)=0 ∴ x=4 and x=1 So, α=4 and β=1 1/α+1/β-2αβ 1/4+1-8 1/4-7 1/4-28/4=-27/4 ∴ The ANSWER is -27/4 or -6.75 |
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