Evaluate
14-6i
Real Part
14
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5-\left(-4\right)+7i-\left(-5-i\right)
Subtract -4+7i from 5 by subtracting corresponding real and imaginary parts.
9-7i-\left(-5-i\right)
Subtract -4 from 5.
9-7i+\left(5+i\right)
The opposite of -5-i is 5+i.
9+5+\left(-7+1\right)i
Combine the real and imaginary parts in numbers 9-7i and 5+i.
14-6i
Add 9 to 5. Add -7 to 1.
Re(5-\left(-4\right)+7i-\left(-5-i\right))
Subtract -4+7i from 5 by subtracting corresponding real and imaginary parts.
Re(9-7i-\left(-5-i\right))
Subtract -4 from 5.
Re(9-7i+\left(5+i\right))
The opposite of -5-i is 5+i.
Re(9+5+\left(-7+1\right)i)
Combine the real and imaginary parts in numbers 9-7i and 5+i.
Re(14-6i)
Add 9 to 5. Add -7 to 1.
14
The real part of 14-6i is 14.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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\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
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