Question

What is the positive solution to the equation x2 - 10x - 2 = 9? X= X=

Answer 1

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.

`\begin{gathered} x^2-10x-2=9 \\ x^2-10x-2-9=0 \\ x^2-10x-11=0 \end{gathered}`

Now, factor the given expression:

`\begin{gathered} x^2-10x-11=0 \\ (x-11)(x+1)=0 \end{gathered}`

Make each factor equal to 0 and solve for x:

`\begin{gathered} x-11=0 \\ x=11 \\ x+1=0 \\ x=-1 \end{gathered}`

The positive solution to the given equation is x=11 and x=-1.