Solve the following equation for x, y ∈ R: x+iy2+3i = 7 – i - Mathematics and Statistics

Question

Solve the following equation for x, y ∈ R:

`(x + "i"y)/(2 + 3"i")` = 7 – i

Sum

Solution

`(x + "i"y)/(2 + 3"i")` = 7 – i

∴ x + iy = (7 – i)(2 + 3i)
∴ x + iy = 14 + 21i – 2i – 3i²
∴ x + iy = 14 + 19i – 3(– 1) ...[∵ i² = – 1]
∴ x + iy = 17 + 19i
Equating real and imaginary parts, we get
x = 17 and y = 19

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Solution of a Quadratic Equation in Complex Number System

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Q 4) iii)Q 4) ii)Q 4) iv)

Chapter 3: Complex Numbers - MISCELLANEOUS EXERCISE - 3 [Page 43]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 11 Maharashtra State Board

Chapter 3 Complex Numbers
MISCELLANEOUS EXERCISE - 3 | Q 4) iii) | Page 43

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