Parallel tangents Find the two points where the curve x2 +

Chapter 3, Problem 41E

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QUESTION:

Problem 41E

Parallel tangents Find the two points where the curve x2 + xy + y2 = 7 crosses the x-axis, and show that the tangents to the curve at these points are parallel. What is the common slope of these tangents?

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QUESTION:

Problem 41E

Parallel tangents Find the two points where the curve x2 + xy + y2 = 7 crosses the x-axis, and show that the tangents to the curve at these points are parallel. What is the common slope of these tangents?

ANSWER:

Solution:

Step 1 of 3

Here we have to find the two points where the given curve crosses the -axis also we need to  show the tangents to the curve at these points are parallel.

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