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Use the defin a) 7+√√=9 2+3i a = 2 b=3 b) √-16 पा I ▬▬▬▬▬▬▬▬ =4 b =

Use the defin a) 7+√√=9 2+3i a = 2 b=3 b) √-16 पा I ▬▬▬▬▬▬▬▬ =4 b =

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section: Chapter Questions
Problem 7T
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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 = _
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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