Solve for x (complex solution)
\left\{\begin{matrix}x=-\frac{-4-3i-iy}{\left(1+i\right)y-1}\text{, }&y\neq \frac{1}{2}-\frac{1}{2}i\\x=-\frac{iy+\left(-4+3i\right)}{\left(1-i\right)y-1}\text{, }&y\neq \frac{1}{2}+\frac{1}{2}i\end{matrix}\right.
Solve for y (complex solution)
\left\{\begin{matrix}y=-\frac{-4-3i-x}{\left(1+i\right)x-i}\text{, }&x\neq \frac{1}{2}+\frac{1}{2}i\\y=-\frac{-4+3i-x}{\left(1-i\right)x+i}\text{, }&x\neq \frac{1}{2}-\frac{1}{2}i\end{matrix}\right.
Solve for x
x=-\frac{4-7y-y^{2}}{2y^{2}-2y+1}
y=-1\text{ or }y=3
Solve for y
y=-\frac{3-7x-x^{2}}{2x^{2}-2x+1}
|x|=2
Quiz
Algebra
5 problems similar to:
{ \left(xy-x-4 \right) }^{ 2 } + { \left(xy-y-3 \right) }^{ 2 } = 0
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}