PRECALCULUS:GRAPHICAL,...-NASTA ED.
PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780134672090
Author: Demana
Publisher: PEARSON
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Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Expert Solution & Answer
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Chapter P.6, Problem 57E
Solution

To find why -i is a solution and -i is not, solution is x2−ix+2=0 .

  i+32, i−32

Given:

The equation, x2−ix+2=0

Concept Used:

Quadratic formula, x=−b±b2−4ac2a

Calculation:

In order to find the why -i is the solutions of the given equation x2−ix+2=0 , use the quadratic formula.

Comparing with the general equation ax2+bx+c=0 , it follows a=1, b=−i, c=2 .

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

  x=−−i±−i2−4⋅1⋅22⋅1=i±1+82=i±92≈i±32⇒i−32 and  i+32

Thus, the solutions are i+32,​ and i−32 .

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Chapter P.6, Problem 56E
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Chapter P.7, Problem 1QR

Chapter P Solutions

PRECALCULUS:GRAPHICAL,...-NASTA ED.

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