108. A Cubic Equation Let 3x = 7/3, and let y = cos x. Use the result of Example 2 to show that y satisfies the equation 8y – 6y – 1 = 0 [Note: This equation has roots of a certain kind that are used to show that the angle 7/3 cannot be trisected by using a ruler and compass only.]

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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108. A Cubic Equation Let 3x = 7/3, and let y = cos x. Use the
result of Example 2 to show that y satisfies the equation
8y – 6y – 1 = 0
[Note: This equation has roots of a certain kind that are
used to show that the angle 7/3 cannot be trisected by using
a ruler and compass only.]
Transcribed Image Text:108. A Cubic Equation Let 3x = 7/3, and let y = cos x. Use the result of Example 2 to show that y satisfies the equation 8y – 6y – 1 = 0 [Note: This equation has roots of a certain kind that are used to show that the angle 7/3 cannot be trisected by using a ruler and compass only.]
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