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What is the sum of all possible values of for which x^2 + kx - 10x + 36 is the square of a binomial?

 Oct 22, 2020
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(x+6)^2 = x^2 + 12x + 36        so 12x = kx-10x

(x-6)^2 = x^2 -12x + 36           so -12x = kx-10x      solve for k in both instances   and add them...

 Oct 22, 2020

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