\left\{ \begin{array} { l } { a ^ { 2 } \times b ^ { 2 } = 24 ^ { 2 } } \\ { b ^ { 2 } + \frac { b ^ { 2 } } { 4 } = 12 ^ { 2 } } \\ { a b \times b \cdot \frac { b } { 2 } = y } \end{array} \right.
Solve for a, b, y
y=-\frac{6912}{5}=-1382.4\text{, }a=\sqrt{5}\approx 2.236067977\text{, }b=-\frac{24\sqrt{5}}{5}\approx -10.733126292
y=-\frac{6912}{5}=-1382.4\text{, }a=-\sqrt{5}\approx -2.236067977\text{, }b=\frac{24\sqrt{5}}{5}\approx 10.733126292
y=\frac{6912}{5}=1382.4\text{, }a=-\sqrt{5}\approx -2.236067977\text{, }b=-\frac{24\sqrt{5}}{5}\approx -10.733126292
y=\frac{6912}{5}=1382.4\text{, }a=\sqrt{5}\approx 2.236067977\text{, }b=\frac{24\sqrt{5}}{5}\approx 10.733126292
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