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Divide. 6+6i 2-3i Write your answer as a complex number in standard form.

Divide. 6+6i 2-3i Write your answer as a complex number in standard form.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
The exercise shown is about dividing complex numbers. It presents the following problem: Divide: \[ \frac{6 + 6i}{2 - 3i} \] The task is to write the answer in standard form for a complex number, which is \(a + bi\), where \(a\) and \(b\) are real numbers. There is a rectangular input box where you are expected to enter your answer. To the right of the input box, there is a toolbar with some icons, presumably for formatting or entering mathematical symbols. At the bottom, there is a "Continue" button, likely to submit the answer. To solve this, you would multiply the numerator and the denominator by the conjugate of the denominator, \(2 + 3i\), to eliminate the imaginary part in the denominator. Then, simplify to present the answer in standard form.
Transcribed Image Text:The exercise shown is about dividing complex numbers. It presents the following problem: Divide: \[ \frac{6 + 6i}{2 - 3i} \] The task is to write the answer in standard form for a complex number, which is \(a + bi\), where \(a\) and \(b\) are real numbers. There is a rectangular input box where you are expected to enter your answer. To the right of the input box, there is a toolbar with some icons, presumably for formatting or entering mathematical symbols. At the bottom, there is a "Continue" button, likely to submit the answer. To solve this, you would multiply the numerator and the denominator by the conjugate of the denominator, \(2 + 3i\), to eliminate the imaginary part in the denominator. Then, simplify to present the answer in standard form.
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