Evaluate
3-4i
Real Part
3
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1-2i-\left(2\left(-1\right)+2i\right)
Multiply 2 times -1+i.
1-2i-\left(-2+2i\right)
Do the multiplications in 2\left(-1\right)+2i.
1-\left(-2\right)+\left(-2-2\right)i
Subtract -2+2i from 1-2i by subtracting corresponding real and imaginary parts.
3-4i
Subtract -2 from 1. Subtract 2 from -2.
Re(1-2i-\left(2\left(-1\right)+2i\right))
Multiply 2 times -1+i.
Re(1-2i-\left(-2+2i\right))
Do the multiplications in 2\left(-1\right)+2i.
Re(1-\left(-2\right)+\left(-2-2\right)i)
Subtract -2+2i from 1-2i by subtracting corresponding real and imaginary parts.
Re(3-4i)
Subtract -2 from 1. Subtract 2 from -2.
3
The real part of 3-4i is 3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}