Evaluate
7-2i
Real Part
7
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i-2+3\left(-i\right)+4+5
Multiply 2 and -1 to get -2. Multiply 4 and 1 to get 4.
3\left(-i\right)-2+4+5+i
Combine the real and imaginary parts.
3\left(-i\right)+7+i
Do the additions.
-3i+7+i
Multiply 3 and -i to get -3i.
7+\left(-3+1\right)i
Combine the real and imaginary parts.
7-2i
Add -3 to 1.
Re(i-2+3\left(-i\right)+4+5)
Multiply 2 and -1 to get -2. Multiply 4 and 1 to get 4.
Re(3\left(-i\right)-2+4+5+i)
Combine the real and imaginary parts in i-2+4+5.
Re(3\left(-i\right)+7+i)
Do the additions in -2+4+5+i.
Re(-3i+7+i)
Multiply 3 and -i to get -3i.
Re(7+\left(-3+1\right)i)
Combine the real and imaginary parts in -3i+7+i.
Re(7-2i)
Add -3 to 1.
7
The real part of 7-2i is 7.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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}