Evaluate (complex solution)
\sqrt{73}i\approx 8.544003745i
Evaluate
\text{Indeterminate}
Real Part (complex solution)
0
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\sqrt{-121-4\times 12\left(-1\right)}
Calculate 11 to the power of 2 and get 121.
\sqrt{-121-48\left(-1\right)}
Multiply 4 and 12 to get 48.
\sqrt{-121-\left(-48\right)}
Multiply 48 and -1 to get -48.
\sqrt{-121+48}
The opposite of -48 is 48.
\sqrt{-73}
Add -121 and 48 to get -73.
\sqrt{73}i
Factor -73=73\left(-1\right). Rewrite the square root of the product \sqrt{73\left(-1\right)} as the product of square roots \sqrt{73}\sqrt{-1}. By definition, the square root of -1 is i.
\sqrt{-121-4\times 12\left(-1\right)}
Calculate 11 to the power of 2 and get 121.
\sqrt{-121-48\left(-1\right)}
Multiply 4 and 12 to get 48.
\sqrt{-121-\left(-48\right)}
Multiply 48 and -1 to get -48.
\sqrt{-121+48}
The opposite of -48 is 48.
\sqrt{-73}
Add -121 and 48 to get -73.
Examples
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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}