To start solving this problem, equal the given equation to 0, do it by passing 9 to substract to the other side of the equation.
[tex]\begin{gathered} x^2-10x-2=9 \\ x^2-10x-2-9=0 \\ x^2-10x-11=0 \end{gathered}[/tex]Now, factor the given expression:
[tex]\begin{gathered} x^2-10x-11=0 \\ (x-11)(x+1)=0 \end{gathered}[/tex]Make each factor equal to 0 and solve for x:
[tex]\begin{gathered} x-11=0 \\ x=11 \\ x+1=0 \\ x=-1 \end{gathered}[/tex]The positive solution to the given equation is x=11 and x=-1.
