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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.

 Jan 20, 2020
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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.

 

\(\begin{array}{|rcll|} \hline \left(3x+\dfrac{8}{3}\right)^2 &=& 9x^2 + 16x + \dfrac{64}{9} \quad & | \quad c=\dfrac{64}{9} \\ \hline \end{array}\)

 

laugh

 Jan 20, 2020

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