12. The golden ratio is a famous number/ratio in mathematics that can be traced back to the work of Euclid. This ratio is known for being aesthetically pleasing and can be found in all kinds of mathematical objects, art, and literature. The golden ratio occurs when the ratio between two values (a and b) is equal to the ratio of a+b to a. Thus, this relationship can be modeled by the equation a+b 4 = = - where qp is the value of the golden ratio. Determine the exact value of q. a

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Grade 11 Math

12. The golden ratio is a famous number/ratio in mathematics that can be traced back to the work of Euclid.
This ratio is known for being aesthetically pleasing and can be found in all kinds of mathematical objects,
art, and literature. The golden ratio occurs when the ratio between two values (a and b) is equal to the ratio
of a+b to a. Thus, this relationship can be modeled by the equation
a+b
4 =
=
- where qp is the value of the golden ratio. Determine the exact value of q.
a
Transcribed Image Text:12. The golden ratio is a famous number/ratio in mathematics that can be traced back to the work of Euclid. This ratio is known for being aesthetically pleasing and can be found in all kinds of mathematical objects, art, and literature. The golden ratio occurs when the ratio between two values (a and b) is equal to the ratio of a+b to a. Thus, this relationship can be modeled by the equation a+b 4 = = - where qp is the value of the golden ratio. Determine the exact value of q. a
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