Math  /  Algebra

QuestionExpress 2i+35i+2\frac{2 i+3}{5 i+2} in the form of a+bia + b i.

Studdy Solution
Now, divide the numerator by the denominator.
16+11i29=1629+11i29=16291129i\frac{-16 +11i}{-29} = \frac{-16}{-29} + \frac{11i}{-29} = \frac{16}{29} - \frac{11}{29}iSo, a=1629a = \frac{16}{29} and b=1129b = -\frac{11}{29}.
The given expression in the form a+bia+bi is 16291129i\frac{16}{29} - \frac{11}{29}i.

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