Okay, here we have this:
Considering the provided equation, we are going to complete the square, so we obtain the following:
[tex]\begin{gathered} x^2-9x-3=0 \\ \end{gathered}[/tex]From here we obtain that:
2a=-9
a=-9/2
Therefore we will add and subtract in the equation "a" squared, we have:
a=-9/2
a^2=(-9/2)^2
a^2=81/4
[tex]\begin{gathered} x^2-9x+\frac{81}{4}-3-\frac{81}{4}=0 \\ (x-\frac{9}{2})^2-\frac{12}{4}-\frac{81}{4}=0 \\ (x-\frac{9}{2})^2-\frac{93}{4}=0 \end{gathered}[/tex]The above equation corresponds to the one requested by completing the square.
