# Answer to Question #820 in Complex Analysis for victor

Question #820

Show that the line y = x + 2 is a tangent to the parabola y = x

^{2}Expert's answer

Let's find the points of intersection of two graphs: x

^{2}= x +2 x^{2}- x -2 = 0 D = 1 + 8 = 9; x_{1}= (1 + 3)/2 = 2; x_{2}= (1 - 3) / 2 = -1;The line intersects the parabola at two points (2,4) and (-1, 1) and cannot be tangent to it.Need a fast expert's response?

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