Solve for y
y=\frac{x\left(x+1\right)}{3}
Solve for x (complex solution)
x=\frac{-\sqrt{12y+1}-1}{2}
x=\frac{\sqrt{12y+1}-1}{2}
Solve for x
x=\frac{-\sqrt{12y+1}-1}{2}
x=\frac{\sqrt{12y+1}-1}{2}\text{, }y\geq -\frac{1}{12}
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y=\frac{1}{3}x^{2}+\frac{1}{3}x
Divide each term of -x^{2}-x by -3 to get \frac{1}{3}x^{2}+\frac{1}{3}x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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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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