Example 1 - If 4x + i(3x  y) = 3 + i(-6), find x and y - Examples - Examples

part 2 - Example 1 - Examples - Serial order wise - Chapter 4 Class 11 Complex Numbers

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Transcript

Example 1 If 4x + i(3x โ€“ y) = 3 + i (โ€“6), where x and y are real numbers, then find the values of x and y. Given 4๐‘ฅ + ๐‘– (3๐‘ฅ โ€“ ๐‘ฆ) = 3 + ๐‘– (โ€“6) Comparing Real Part 4๐‘ฅ = 3 ๐’™ = ๐Ÿ‘/๐Ÿ’ Comparing Imaginary Part 3๐‘ฅ โ€“ ๐‘ฆ = โˆ’6 Putting ๐’™ = ๐Ÿ‘/๐Ÿ’ 3(๐Ÿ‘/๐Ÿ’) โ€“ ๐‘ฆ = โ€“6 9/4โˆ’๐‘ฆ=โˆ’6 9/4+6=๐‘ฆ ๐’š=๐Ÿ‘๐Ÿ‘/๐Ÿ’ Hence, ๐’™ = ๐Ÿ‘/๐Ÿ’ & ๐’š = ๐Ÿ‘๐Ÿ‘/๐Ÿ’ is the solution of the given equation

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