Z=(2+5i)+i(5i+2)
You asked:
Investigate the equation: \(Z = 2 + 5 i + i\left( 5 i + 2 \right)\).
MathBot Answer:
The solution is: \[Z = 2 + i \left(2 + 5 i\right) + 5 i\]
\[\begin{aligned}Z &= 2 + 5 i + i \cdot \left(5 i + 2\right)\\Z &= -3 + 7 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).