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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 29E: Find two points on the line and use slope formula to find the slope of the line. f(x)=4x6
Question

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

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