5 + 3 i/ 4 + 2 i = bi
You asked:
Investigate the equation: \(5 + \frac{3 i}{4} + 2 i = b i\).
MathBot Answer:
The solution is: \[b = - \frac{i \left(20 + 11 i\right)}{4} = 2.75 2.75 i\]
\[\begin{aligned}5 + \frac{3 i}{4} + 2 i &= b i\\5 + \frac{11 i}{4} &= b i\\b \left(- i\right) &= -5 - \frac{11 i}{4}\\b &= i \left(-5 - \frac{11 i}{4}\right)\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).