Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
10th Edition
ISBN: 9780134673301
Author: Waits, Foley, Kennedy, Bock Demana
Publisher: PEARSON
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
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 48E
Solution

To write the expression 1i in standard form.

E. 0−i

Given:

The expression, 1i .

Concept used:

  • Product of powers property, an⋅am=an+m
  • FOIL to multiply binomials, a+bc+d=a⋅c+a⋅d+b⋅c+b⋅d
  • Properties of complex number: −1=i, i2=−1, i3=−i
  • The complex conjugate of a+bi is a−bi .
  • Difference of squares formula, a+ba−b=a2−b2

Calculation:

In order to write the given expression in standard form, rationalize the denominator by multiplying up and down with the complex conjugate and simplify further as shown below,

  1i1i×−i−i−i−i2−i1−i=0

Thus, the standard form of the given expression is 0−i .

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Chapter P.6, Problem 47E
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Chapter P.6, Problem 49E

Chapter P Solutions

Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition

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