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Alpha, beta are the root of the quadratic polynomial x2-(k+6) x+2(2k-1).Find k if Alpha +beta = 1/2 Alpha beta. (2 marks)

x2-(k+6) x+2(2k-1)=0
Given    
        K+6=2(2k-1)      [since sum of zeroes=   =coeff of x

                                Product of zeroes = constant term]
K+6=2k-1
K=7



 


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