\left\{ \begin{array} { l } { - \frac { b } { 2 a } = 2 } \\ { - \frac { b ^ { 2 } + 4 a c } { 3 a } = 1 } \\ { - \frac { 1 + b ^ { 2 } - 4 a c } { - 4 a } = \frac { 7 } { 4 } } \end{array} \right.
Solve for b, a, c
b=\frac{-1+\sqrt{7}i}{4}\approx -0.25+0.661437828i\text{, }a=\frac{-\sqrt{7}i+1}{16}\approx 0.0625-0.165359457i\text{, }c=\frac{\sqrt{7}i}{4}-1\approx -1+0.661437828i
b=\frac{-\sqrt{7}i-1}{4}\approx -0.25-0.661437828i\text{, }a=\frac{1+\sqrt{7}i}{16}\approx 0.0625+0.165359457i\text{, }c=-\frac{\sqrt{7}i}{4}-1\approx -1-0.661437828i
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}