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If Alpha and beta all the zeros of the polynomial. P(x)=x2 -(k-6)x +(2k+1) .find the value of k, if alpha + beta is equal to Alpha beta

Posted by Surbhi Golan 5 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Priyanka Sahoo 5 years, 5 months ago

p(x) = x² - (k - 6)x + (2k + 1) , alpha + beta = -b/a = -(k - 6) , alpha * beta = (2k + 1) , according to question , alpha + beta = alpha * beta , -(K - 6) = 2k + 1 = -k - 2k = 1 + 6 = -k = 7 = K = 7

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