Two complex numbers equal
Two complex numbers equal
Last updated at Jan. 14, 2022 by Teachoo
Example 1 If 4x + i(3x β y) = 3 + i (β6), where x and y are real numbers, then find the values of x and y. Given 4π₯ + π (3π₯ β π¦) = 3 + π (β6) Comparing Real Part 4π₯ = 3 π = π/π Comparing Imaginary Part 3π₯ β π¦ = β6 Putting π = π/π 3(π/π) β π¦ = β6 9/4βπ¦=β6 9/4+6=π¦ π=ππ/π Hence, π = π/π & π = ππ/π is the solution of the given equation