Question

For what values of x is f(x)=2x+2 equal to f(x)=x^2+x+2?

Answer 1

`\begin{gathered} f(x)=2x+2 \\ f(x)=x^2+x+2 \end{gathered}`
`\begin{gathered} 2x+2=x^2+x+2 \\ 2x+2-x-2=x^2 \\ x=x^2 \\ (x)/(x)=(x^2)/(x) \\ 1=x \\ x=1 \end{gathered}`

to check, if x = 1 then

`\begin{gathered} 2x+2=x^2+x+2 \\ 2(1)+2=(1)^2+1+2 \\ 2+2=1+1+2_{} \\ 4=4 \end{gathered}`

QED

Answer.

x=1