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If Alfa and beta are the roots of quadratic polynomial p (x) =x2 - ( k+6)x+2 (2k-1) find the value of k if Alfa +beta = 1/2 alfa beta |
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Answer» Step-by-step EXPLANATION: given quadratic polynomial is x^2 - ( K+6) x +2(2k-1) given alpha and beta are the ROOTS ........ sum of the roots = - b/ a = (k+6) product of the roots = c/a = 2(2k-1) given k+6 = 1/2( 2(2k-1)) k+6 = 2k-1 k = 7 the value of k is 7 |
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