Question #820

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

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.

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