\left\{ \begin{array} { l } { - \frac { b } { 2 a } = 2 } \\ { \frac { - b ^ { 2 } + 4 a c } { 4 a } = 6 } \\ { \frac { - 1 - 4 a c } { 4 a } = \frac { 25 } { 4 } } \end{array} \right.
Solve for b, a, c
b=\frac{\sqrt{2337}+49}{8}\approx 12.167815983\text{, }a=\frac{-\sqrt{2337}-49}{32}\approx -3.041953996\text{, }c=\frac{-\sqrt{2337}-1}{8}\approx -6.167815983
b=\frac{49-\sqrt{2337}}{8}\approx 0.082184017\text{, }a=\frac{\sqrt{2337}-49}{32}\approx -0.020546004\text{, }c=\frac{\sqrt{2337}-1}{8}\approx 5.917815983
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