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

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26-03-2018
Mathematics

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

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MrRamon MrRamon · Answer 1 · 2018-04-06T04:36:00+02:00

MrRamon MrRamon

06-04-2018

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.

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