Solve for y
y=x^{2}+2x+4
x\neq 2
Solve for x (complex solution)
\left\{\begin{matrix}\\x=-\sqrt{y-3}-1\text{, }&\text{unconditionally}\\x=\sqrt{y-3}-1\text{, }&y\neq 12\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\sqrt{y-3}-1\text{, }&y\neq 12\text{ and }y\geq 3\\x=-\sqrt{y-3}-1\text{, }&y\geq 3\end{matrix}\right.
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y=\frac{\left(x-2\right)\left(x^{2}+2x+4\right)}{x-2}
Factor the expressions that are not already factored in \frac{x^{3}-8}{x-2}.
y=x^{2}+2x+4
Cancel out x-2 in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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