\left\{ \begin{array} { c } { a + 3 b + 2 c + d = 7 } \\ { b + 3 c + d = 0 } \\ { 3 c + 5 d - a = 3 } \\ { d ^ { 2 } - 2 d + a = 0 } \end{array} \right.
Solve for a, b, c, d
a=\frac{-29\sqrt{1113}-945}{32}\approx -59.765249513\text{, }b=\frac{13\sqrt{1113}+513}{32}\approx 29.584422196\text{, }c=\frac{-3\sqrt{1113}-143}{32}\approx -7.596405122\text{, }d=\frac{-\sqrt{1113}-21}{8}\approx -6.795206829
a=\frac{29\sqrt{1113}-945}{32}\approx 0.702749513\text{, }b=\frac{513-13\sqrt{1113}}{32}\approx 2.478077804\text{, }c=\frac{3\sqrt{1113}-143}{32}\approx -1.341094878\text{, }d=\frac{\sqrt{1113}-21}{8}\approx 1.545206829
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}