The equation of a curve is 5x 2 + 2xy + 2y 2 = 45. a. Given


The equation of a curve is 5x2 + 2xy + 2y2 = 45.

a. Given that there are two points on the curve where the tangent is parallel to the x-axis, show by differentiation that, at these points, y = −5x.
b. Hence find the coordinates of the two points.

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