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For what real values of c is 9x^2 + 16x + c the square of a binomial? If you find more than one, then list your values in increasing order, separated by commas.

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do you know about completing the square?

(3x + y)(3x+y)= 9 x^2 + 6xy + y^2
6 y = 16
y = 8/3
y^2 = 64/9

so

9 x^2 + 16 x + 64/9

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