If a = 2 + i, and b = 3 – 2i, whats b/a?
1 answer:
B/a = (3 - 2i)/(2 + i) To divide complex numbers, you multiply the numerator and denominator by the complex conjugate of the denominator. The complex conjugate is 2 - i. ** Remember i^2 = -1 **a + bi ( 3 - 2i) ( 2 - i) ------------------- Foil numerator and denominator. (2 + i) ( 2 - i) 6 - 3i - 4i + 2i^2 6 - 7i - 2 4 - 7i 4 - 7i --------------------- ----------- ------- OR --- ----- 4 - i^2 4 + 1 5 5 5 The answer can be written either way. If they specify real part and imaginary part, the second option is correct.
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