Equality of Complex Numbers In Exercises 7–10,find real numbers a and b such that the equation is true.7. a + bi = 9 + 8i8. a + bi = 10 − 5i9. (a − 2) + (b + 1)i = 6 + 5i10. (a + 2) + (b − 3)i = 4 + 7i

Equality of Complex Numbers In Exercises 7–10,find real numbers a and b such that the equation is true.7. a + bi = 9 + 8i8. a + bi = 10 − 5i9. (a − 2) + (b + 1)i = 6 + 5i10. (a + 2) + (b − 3)i = 4 + 7i

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 54E

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Question

Equality of Complex Numbers In Exercises 7–10,
find real numbers a and b such that the equation is true.
7. a + bi = 9 + 8i
8. a + bi = 10 − 5i
9. (a − 2) + (b + 1)i = 6 + 5i
10. (a + 2) + (b − 3)i = 4 + 7i

Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

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