Evaluate
-\frac{13}{9}-\frac{14}{9}i\approx -1.444444444-1.555555556i
Real Part
-\frac{13}{9} = -1\frac{4}{9} = -1.4444444444444444
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-2-2i+\left(\frac{5}{9}+\frac{4}{9}i\right)
Divide 5+4i by 9 to get \frac{5}{9}+\frac{4}{9}i.
-2+\frac{5}{9}+\left(-2+\frac{4}{9}\right)i
Combine the real and imaginary parts in numbers -2-2i and \frac{5}{9}+\frac{4}{9}i.
-\frac{13}{9}-\frac{14}{9}i
Add -2 to \frac{5}{9}. Add -2 to \frac{4}{9}.
Re(-2-2i+\left(\frac{5}{9}+\frac{4}{9}i\right))
Divide 5+4i by 9 to get \frac{5}{9}+\frac{4}{9}i.
Re(-2+\frac{5}{9}+\left(-2+\frac{4}{9}\right)i)
Combine the real and imaginary parts in numbers -2-2i and \frac{5}{9}+\frac{4}{9}i.
Re(-\frac{13}{9}-\frac{14}{9}i)
Add -2 to \frac{5}{9}. Add -2 to \frac{4}{9}.
-\frac{13}{9}
The real part of -\frac{13}{9}-\frac{14}{9}i is -\frac{13}{9}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}