Question

Solve the equation by completing the square.x^2- 9x -3=0

Answer 1

Okay, here we have this:

Considering the provided equation, we are going to complete the square, so we obtain the following:

`\begin{gathered} x^2-9x-3=0 \\ \end{gathered}`

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

`\begin{gathered} x^2-9x+(81)/(4)-3-(81)/(4)=0 \\ (x-(9)/(2))^2-(12)/(4)-(81)/(4)=0 \\ (x-(9)/(2))^2-(93)/(4)=0 \end{gathered}`

The above equation corresponds to the one requested by completing the square.