Question 848674
Non-linear system; two equations for y;
Equate the two expressions for y and solve for x.


{{{x^2+1=x+1}}}
{{{x^2=x}}}
{{{x^2-x=0}}}
Can you intuitively see in the quadratic left member what the two x values will be for the intersection?  Factor the expression.


{{{graph(350,350,-2,8,-2,8,x^2+1,x+1)}}}