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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 8.172 (page 1069)

Divide: $\frac{1 + 6 i}{6 - i}$

Short Answer

Expert verified

The solution of the above equation is i

Step by step solution

01

Given information

We are given an equation $\frac{1 + 6 i}{6 - i}$

02

Multiply the numerator and denominator by the complex conjugate of the denominator. The complex conjugate of a+ibis a-ib

$\frac{1 + 6 i}{6 - i} 脳 \frac{6 + i}{6 + i}$

03

Simplify and write results in simple form

$\frac{6 + i + 36 i - 6}{36 - i^{2}} \frac{37 i}{37} i$

04

Conclusion

The solution of the above equation is $i$

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