Solve for x, y (complex solution)
\left\{\begin{matrix}x=-\frac{\sqrt{1-2b+b^{2}+4a-4ac}+b-1}{2a}\text{, }y=-\frac{\sqrt{1-2b+b^{2}+4a-4ac}+b-2a-1}{2a}\text{; }x=-\frac{-\sqrt{1-2b+b^{2}+4a-4ac}+b-1}{2a}\text{, }y=-\frac{-\sqrt{1-2b+b^{2}+4a-4ac}+b-2a-1}{2a}\text{, }&a\neq 0\\x=-\frac{c-1}{b-1}\text{, }y=-\frac{c-b}{b-1}\text{, }&a=0\text{ and }b\neq 1\\x=y-1\text{, }y\in \mathrm{C}\text{, }&a=0\text{ and }b=1\text{ and }c=1\end{matrix}\right.
Solve for x, y
\left\{\begin{matrix}x=-\frac{\sqrt{1-2b+b^{2}+4a-4ac}+b-1}{2a}\text{, }y=-\frac{\sqrt{1-2b+b^{2}+4a-4ac}+b-2a-1}{2a}\text{; }x=-\frac{-\sqrt{1-2b+b^{2}+4a-4ac}+b-1}{2a}\text{, }y=-\frac{-\sqrt{1-2b+b^{2}+4a-4ac}+b-2a-1}{2a}\text{, }&\left(a\neq 0\text{ and }c=1\right)\text{ or }\left(a\neq 0\text{ and }c>1\text{ and }a\leq -\frac{\left(b-1\right)^{2}}{4\left(1-c\right)}\right)\text{ or }\left(a\neq 0\text{ and }c<1\text{ and }a\geq -\frac{\left(b-1\right)^{2}}{4\left(1-c\right)}\right)\text{ or }\left(c\neq 1\text{ and }a=-\frac{\left(b-1\right)^{2}}{4\left(1-c\right)}\text{ and }b\neq 1\right)\text{ or }\left(b\neq 1\text{ and }a=-\frac{\left(b-1\right)^{2}}{4-4c}\text{ and }c\neq 1\right)\\x=-\frac{c-1}{b-1}\text{, }y=-\frac{c-b}{b-1}\text{, }&a=0\text{ and }b\neq 1\\x=y-1\text{, }y\in \mathrm{R}\text{, }&a=0\text{ and }b=1\text{ and }c=1\end{matrix}\right.
Graph
Share
Copied to clipboard
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}