Complex Numbers - Equating Real and Imaginary Parts

Complex Numbers - Equating Real and Imaginary Parts

If \(\frac{a}{1+\mathbf{i}}-\frac{b}{2-\mathbf{i}}=5\mathbf{i}\), where \(a\) and \(b\) are real, find the values of \(a\) and \(b\).

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Answer:\(a=-\dfrac{20}{3}\), \(b=-\dfrac{25}{3}\)

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