Explanation Given: Given equation is x 2 − x − 1 = 0 Solve this equation using the below formula, x = − b ± b 2 − 4 a c 2 a x 2 − x − 1 = 0 Here a = 1 , b = − 1 , c = − 1 x = − ( − 1 ) ± ( − 1 To determine (b) Whether there a relationship between the decimal representations of these numbers.

13th Edition

ISBN: 9781305855588

Author: SMITH

Publisher: CENGAGE CO

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Chapter 7.6, Problem 57PS

To determine

(a)

To show:

The solutions to the equation x2−x−1=0 are τ=1+52 and τ¯=1−52.

To determine

(b)

Whether there a relationship between the decimal representations of these numbers.

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Chapter 7.6, Problem 56PS

Chapter 7.6, Problem 58PS

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Chapter 7 Solutions

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Ch. 7.1 - Is the woman in the figure a young woman or an old...Ch. 7.1 - Is the fly in the Figure 7.11 on the cube or in...Ch. 7.1 - Prob. 3PS Ch. 7.1 - Prob. 4PS Ch. 7.1 - Prob. 5PS Ch. 7.1 - Prob. 6PS Ch. 7.1 - Prob. 7PS Ch. 7.1 - Prob. 8PS Ch. 7.1 - Prob. 9PS Ch. 7.1 - Prob. 10PS

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(a) To show: The solutions to the equation x 2 − x − 1 = 0 are τ = 1 + 5 2 and τ ¯ = 1 − 5 2 .

Solution Summary: The author explains that the solutions to the equation x2-x-1=0 are negative reciprocals.

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(a)

To show:

The solutions to the equation x2−x−1=0 are τ=1+52 and τ¯=1−52.

(b)

Whether there a relationship between the decimal representations of these numbers.

Want to see the full answer?

Chapter 7 Solutions

(a) To show: The solutions to the equation x 2 − x − 1 = 0 are τ = 1 + 5 2 and τ ¯ = 1 − 5 2 .

Solution Summary: The author explains that the solutions to the equation x2-x-1=0 are negative reciprocals.

Concept explainers

Videos

(a) To show: The solutions to the equation x2−x−1=0 are τ=1+52 and τ¯=1−52.

(b) Whether there a relationship between the decimal representations of these numbers.

Want to see the full answer?

Chapter 7 Solutions

(a)

To show:

The solutions to the equation x2−x−1=0 are τ=1+52 and τ¯=1−52.

(b)

Whether there a relationship between the decimal representations of these numbers.