Question: Can you help explain this to me please? Find two points where the curve x 2 +6xy+y 2 =19 crosses the x-axis. The tangents to

Can you help explain this to me please?

Find two points where the curve x²+6xy+y²=19 crosses the x-axis. The tangents to the curve at these points are parallel. What is the common slope of these tangents?

The curve x²+6xy+y²=19 crosses the x-axis at two points:

(ordered pairs, can use radicals)

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