Evaluate
17
Real Part
17
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-4\left(-4\right)-4\left(-i\right)-4i-i^{2}
Multiply complex numbers -4+i and -4-i like you multiply binomials.
-4\left(-4\right)-4\left(-i\right)-4i-\left(-1\right)
By definition, i^{2} is -1.
16+4i-4i+1
Do the multiplications.
16+1+\left(4-4\right)i
Combine the real and imaginary parts.
17
Do the additions.
Re(-4\left(-4\right)-4\left(-i\right)-4i-i^{2})
Multiply complex numbers -4+i and -4-i like you multiply binomials.
Re(-4\left(-4\right)-4\left(-i\right)-4i-\left(-1\right))
By definition, i^{2} is -1.
Re(16+4i-4i+1)
Do the multiplications in -4\left(-4\right)-4\left(-i\right)-4i-\left(-1\right).
Re(16+1+\left(4-4\right)i)
Combine the real and imaginary parts in 16+4i-4i+1.
Re(17)
Do the additions in 16+1+\left(4-4\right)i.
17
The real part of 17 is 17.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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