\left\{ \begin{array} { l } { 7 = a + b + c } \\ { - \frac { b } { 2 a } = 4 } \\ { \frac { - ( b ^ { 2 } - h a c ) } { 4 a } = - 2 } \\ { c = 7 + 7 a } \end{array} \right.
Solve for a, b, c, h
a=\frac{c}{7}-1
b=-\frac{8c}{7}+8
c\in \mathrm{R}\setminus 7,0
h=\frac{64}{7}-\frac{72}{c}
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