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Chapter 1: Complex Numbers - Summary of Key Points-Questions and Answers Graded A+
Chapter 1: Complex Numbers - Summary of Key Points-Questions and Answers Graded A+ i = - ANSWER-√-1 i² = - ANSWER--1 imaginary number - ANSWER-bi complex number - ANSWER-a + bi if b² - 4ac < 0 - ANSWER-then ax²+bx+c has two complex solutions which are a conjugate pair if z = a + bi - ANSWER-its complex conjugate z* = a - bi if roots are α and β - ANSWER-equation can be written as: (z-α)(z-β) = 0 or z² - (α+β)z +αβ = 0 for cubic equation with real coeff...
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An Imaginary Tale: The Story of √−1 – Paul J. Nahin – Revised Edition 2016 | Complex Numbers & Mathematics
PopularToday complex numbers have such widespread practical use – from electrical engineering to aeronautics – that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878...
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Exam (elaborations)
Complex numbers-Questions and Answers 100%Correct
Complex numbers-Questions and Answers 100%Correct what is a complex number? - ANSWER-a number that has a real part and an imaginary part what is Re(3+2i)? - ANSWER-3 what is Im(3+2i)? - ANSWER-2 what is the complex conjugate of 5-3i? - ANSWER-5+3i z=4+i z*=? - ANSWER-4-i z=a+bi zz*=? - ANSWER-a^2+b^2 what coordinate does 3+2i occupy on the Argand diagram? - ANSWER-(3,2) Imaginary Numbers - ANSWER-Square roots of negative numbers. Pure Imaginary Number - ANSWER-the squa...
EricMatt