Evaluate
-9+7i
Real Part
-9
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3-8+\left(2+3\right)i-\left(4-2i\right)
Combine the real and imaginary parts in numbers 3+2i and -8+3i.
-5+5i-\left(4-2i\right)
Add 3 to -8. Add 2 to 3.
-5-4+\left(5-\left(-2\right)\right)i
Subtract 4-2i from -5+5i by subtracting corresponding real and imaginary parts.
-9+7i
Subtract 4 from -5. Subtract -2 from 5.
Re(3-8+\left(2+3\right)i-\left(4-2i\right))
Combine the real and imaginary parts in numbers 3+2i and -8+3i.
Re(-5+5i-\left(4-2i\right))
Add 3 to -8. Add 2 to 3.
Re(-5-4+\left(5-\left(-2\right)\right)i)
Subtract 4-2i from -5+5i by subtracting corresponding real and imaginary parts.
Re(-9+7i)
Subtract 4 from -5. Subtract -2 from 5.
-9
The real part of -9+7i is -9.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}