Evaluate
-\frac{7}{2}-13i=-3.5-13i
Real Part
-\frac{7}{2} = -3\frac{1}{2} = -3.5
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\frac{\left(26-7i\right)i}{2i^{2}}
Multiply both numerator and denominator by imaginary unit i.
\frac{\left(26-7i\right)i}{-2}
By definition, i^{2} is -1. Calculate the denominator.
\frac{26i-7i^{2}}{-2}
Multiply 26-7i times i.
\frac{26i-7\left(-1\right)}{-2}
By definition, i^{2} is -1.
\frac{7+26i}{-2}
Do the multiplications in 26i-7\left(-1\right). Reorder the terms.
-\frac{7}{2}-13i
Divide 7+26i by -2 to get -\frac{7}{2}-13i.
Re(\frac{\left(26-7i\right)i}{2i^{2}})
Multiply both numerator and denominator of \frac{26-7i}{2i} by imaginary unit i.
Re(\frac{\left(26-7i\right)i}{-2})
By definition, i^{2} is -1. Calculate the denominator.
Re(\frac{26i-7i^{2}}{-2})
Multiply 26-7i times i.
Re(\frac{26i-7\left(-1\right)}{-2})
By definition, i^{2} is -1.
Re(\frac{7+26i}{-2})
Do the multiplications in 26i-7\left(-1\right). Reorder the terms.
Re(-\frac{7}{2}-13i)
Divide 7+26i by -2 to get -\frac{7}{2}-13i.
-\frac{7}{2}
The real part of -\frac{7}{2}-13i is -\frac{7}{2}.
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