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For what real values of $a$ is $x^2 + ax + 25$ 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 $a$ is $x^2 + ax + 25$ the square of a binomial?
If you find more than one, then list your values in increasing order, separated by commas.

 

\(\begin{array}{|rcll|} \hline (x+5)^2 &=& x^2 + 10x + 25 \quad & | \quad a=10 \\ (x-5)^2 &=& x^2 - 10x + 25 \quad & | \quad a=-10 \\ \hline \end{array} \)

 

laugh

 Jan 20, 2020

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