Answer to Question #820 in Complex Analysis for victor

Question

Show that the line y = x + 2 is a tangent to the parabola y = x[sup]2[/sup]

Answer 1

Let's find the points of intersection of two graphs: x² = x +2 x² - x -2 = 0 D = 1 + 8 = 9; x₁ = (1 + 3)/2 = 2; x₂ = (1 - 3) / 2 = -1;The line intersects the parabola at two points (2,4) and (-1, 1) and cannot be tangent to it.