\left\{ \begin{array} { l } { 20 = ( x + y ) a } \\ { 8 = ( x - y ) b } \\ { 12 = ( a - b ) y } \\ { 40 = \frac { ( x + y ) + ( x - y ) } { 2 } \cdot 7 } \end{array} \right.
Solve for x, y, a, b (complex solution)
x=\frac{40}{7}\approx 5.714285714\text{, }y=\frac{-5\sqrt{39}i+15}{7}\approx 2.142857143-4.460712856i\text{, }a=\frac{77+7\sqrt{39}i}{40}\approx 1.925+1.09287465i\text{, }b=-\frac{7\sqrt{39}i}{40}+\frac{7}{8}\approx 0.875-1.09287465i
x=\frac{40}{7}\approx 5.714285714\text{, }y=\frac{15+5\sqrt{39}i}{7}\approx 2.142857143+4.460712856i\text{, }a=\frac{-7\sqrt{39}i+77}{40}\approx 1.925-1.09287465i\text{, }b=\frac{7\sqrt{39}i}{40}+\frac{7}{8}\approx 0.875+1.09287465i
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}