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Question

If the sum of the zeros of the quadratic polynomial kx23x+5 is 1, write the value of k.


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Solution

To find k, where the sum of zeros of quadratic polynomial f (x) = kx23x+5 is 1, then here is the solution.

Let two zeros be α and 1α. ( sum of zeros is 1 and also 1α>0α<1

Sum of zeroes = ba

i e
space space space space space s u m space o f space z e r o s equals 3 over k
space space space space space alpha plus open parentheses 1 minus alpha close parentheses equals 3 over k
space space space space space space 1 equals 3 over k
space space space space space space space k equals 3


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