Evaluate
-8+29i
Real Part
-8
Share
Copied to clipboard
7i-3+\left(-13+11i\right)+\left(8+11i\right)
Multiply -1 and 13-11i to get -13+11i.
-3-13+\left(7+11\right)i+\left(8+11i\right)
Combine the real and imaginary parts in 7i-3+\left(-13+11i\right).
-16+18i+\left(8+11i\right)
Do the additions in -3-13+\left(7+11\right)i.
-16+8+\left(18+11\right)i
Combine the real and imaginary parts.
-8+29i
Do the additions.
Re(7i-3+\left(-13+11i\right)+\left(8+11i\right))
Multiply -1 and 13-11i to get -13+11i.
Re(-3-13+\left(7+11\right)i+\left(8+11i\right))
Combine the real and imaginary parts in 7i-3+\left(-13+11i\right).
Re(-16+18i+\left(8+11i\right))
Do the additions in -3-13+\left(7+11\right)i.
Re(-16+8+\left(18+11\right)i)
Combine the real and imaginary parts in -16+18i+\left(8+11i\right).
Re(-8+29i)
Do the additions in -16+8+\left(18+11\right)i.
-8
The real part of -8+29i is -8.
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}