Can the quadratic polynomial x2+kx+k have equal zeroes for some odd integer k>1

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Doctor

Mathematics

4 August, 03:05

Can the quadratic polynomial x2+kx+k have equal zeroes for some odd integer k>1

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Heather Simpson · Answer 1

No.

The only value that can be put in K that would have the same zeros would be 4 but 4 is not an odd integer. If there was an odd integer that the sum and product would be the same then it would lie on the x-axis. but only 4 fits the criteria.