PRECALCULUS:...COMMON CORE ED.-W/ACCESS
PRECALCULUS:...COMMON CORE ED.-W/ACCESS
10th Edition
ISBN: 9780134781839
Author: Demana
Publisher: PEARSON
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Chapter P.5, Problem 37E
Solution

The solutions of the equation x2−x−1=0 .

  −0.62,​ and 1.62

Given:

The equation, x2−x−1=0

Concept Used:

  • Quadratic formula, x=−b±b2−4ac2a

Calculation:

In order to find the two solutions of the given equation x2−x−1=0 , use the quadratic formula.

Comparing with the general equation ax2+bx+c=0 , it follows a=1, b=−1, c=−1 .

Substitute these values into the quadratic formula and simplify further as shown below

  x=−−1±−12−4⋅1⋅−12⋅1=1±1+42=1±52≈1±2.242⇒1−2.242 and  1+2.242⇒−0.62 and  1.62

Thus, the required solutions are −0.62,​ and 1.62 .

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Chapter P.5, Problem 36E
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Chapter P.5, Problem 38E

Chapter P Solutions

PRECALCULUS:...COMMON CORE ED.-W/ACCESS

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