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

 Jan 30, 2022
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x^2 + (k - 10) + 36

 

square of a binomial = (x + b)^2 = x^2 + 2bx + b^2

 

The constant term is 36, so b is 6 or -6.

 

k - 10 = 12 or k - 10 = -12

k = 22 or k = -2

 Jan 30, 2022

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