Résoudre S=(h^2/r_{0})/(w^2*r_{1})

$$S = ( \frac { h ^ { 2 } } { r _ { 0 } } ) / ( w ^ { 2 } \cdot r _ { 1 } )$$

Calculer h (solution complexe)

$$h=-\sqrt{S}\sqrt{r_{0}}\sqrt{r_{1}}w$$

$$h=\sqrt{S}\sqrt{r_{0}}\sqrt{r_{1}}w\text{, }r_{0}\neq 0\text{ and }w\neq 0\text{ and }r_{1}\neq 0$$

Calculer S

$$S=\frac{\left(\frac{h}{w}\right)^{2}}{r_{0}r_{1}}$$

$$r_{0}\neq 0\text{ and }w\neq 0\text{ and }r_{1}\neq 0$$

Calculer h

$$h=w\sqrt{Sr_{0}r_{1}}$$

$$h=-w\sqrt{Sr_{0}r_{1}}\text{, }\left(r_{1}>0\text{ or }r_{0}<0\text{ or }S\leq 0\right)\text{ and }w\neq 0\text{ and }\left(S\geq 0\text{ or }r_{0}<0\text{ or }r_{1}<0\right)\text{ and }r_{1}\neq 0\text{ and }r_{0}\neq 0\text{ and }\left(r_{1}>0\text{ or }S\geq 0\text{ or }r_{0}>0\right)\text{ and }\left(r_{0}>0\text{ or }r_{1}<0\text{ or }S\leq 0\right)$$