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Chapter 11: Q. 8.176 (page 1069)

Divide:2+4i5i

Short Answer

Expert verified

The solution of the above expression is4-2i5

Step by step solution

01

Given information

We are given an expression2+4i5i

02

Write denominator in standard form

We get,2+4i0+5i

03

 Multiply the numerator and denominator byThe complex conjugate of the denominator.

2+4i0+5i脳0-5i0-5i

04

Multiply and simplify the real and imaginary terms

-10i-20i2-25i2-10i-20(-1)-25(-1)20-10i25

05

Rewrite in standard form

2025-1025i45-25i

06

Conclusion

On solving the and performing the given operation we get45-25i

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