PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA)
10th Edition
ISBN: 9780136174318
Author: Demana
Publisher: PEARSON
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Expert Solution & Answer
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)±√(−1)2−4⋅1⋅(−1)2⋅1=1±√1+42=1±√52≈1±2.242⇒1−2.242and 1+2.242⇒−0.62and 1.62
Thus, the required solutions are −0.62, and 1.62 .
Chapter P Solutions
PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA)
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