Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section: Chapter Questions
Problem 7T
Related questions
Question
![1. x² = −1 has no real solutions. But x = ±√√1 is a solutions since (√√-1) = -1 and (-√-₁)² =
A
-1
This observation led to the introduction of complex numbers and the imaginary unit, i.
i is defined by i² = -1 or i=√√-1; complex number a + bi where a is real and b is imaginary.
Use the definition and write each number in complex form, a + bi, identifying a and b.
b) √-16
41
a) 7+√√√9
2+3i
a =
7 2 b=3
a
b = 4
|_b=
3
a =
2
b = _](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffac1bf48-50df-4cbd-860a-5a4ad873c531%2Fbcd825eb-265e-4846-af41-90291d2f1487%2Fg5xymo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. x² = −1 has no real solutions. But x = ±√√1 is a solutions since (√√-1) = -1 and (-√-₁)² =
A
-1
This observation led to the introduction of complex numbers and the imaginary unit, i.
i is defined by i² = -1 or i=√√-1; complex number a + bi where a is real and b is imaginary.
Use the definition and write each number in complex form, a + bi, identifying a and b.
b) √-16
41
a) 7+√√√9
2+3i
a =
7 2 b=3
a
b = 4
|_b=
3
a =
2
b = _
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