You can put this solution on YOUR website! y=x^2-2x+4
graphing this equation we have no x intercepts.
solving this equation by setting y=0 & using the quadratic equation we get irrational values which supports the no x intercept graph. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x^2 -2x +4).