Lahenda 2piR^2H=27pir^2(10)

$$2 \pi R ^ { 2 } H = 27 \pi r ^ { 2 } ( 10 )$$

Lahendage ja leidke H (complex solution)

$$\left\{\begin{matrix}H=135\times \left(\frac{r}{R}\right)^{2}\text{, }&R\neq 0\\H\in \mathrm{C}\text{, }&r=0\text{ and }R=0\end{matrix}\right,$$

Juhised lineaarvõrrandi lahendamiseks

\pi taandatakse mõlemal poolel.

$$2R^{2}H=27r^{2}\times 10$$

Korrutage 27 ja 10, et leida 270.

$$2R^{2}H=270r^{2}$$

Jagage mõlemad pooled 2R^{2}-ga.

$$\frac{2R^{2}H}{2R^{2}}=\frac{270r^{2}}{2R^{2}}$$

2R^{2}-ga jagamine võtab 2R^{2}-ga korrutamise tagasi.

$$H=\frac{270r^{2}}{2R^{2}}$$

Jagage 270r^{2} väärtusega 2R^{2}.

$$H=\frac{135r^{2}}{R^{2}}$$

Lahendage ja leidke H

$$\left\{\begin{matrix}H=135\times \left(\frac{r}{R}\right)^{2}\text{, }&R\neq 0\\H\in \mathrm{R}\text{, }&r=0\text{ and }R=0\end{matrix}\right,$$

Juhised lineaarvõrrandi lahendamiseks

\pi taandatakse mõlemal poolel.

$$2R^{2}H=27r^{2}\times 10$$

Korrutage 27 ja 10, et leida 270.

$$2R^{2}H=270r^{2}$$

Jagage mõlemad pooled 2R^{2}-ga.

$$\frac{2R^{2}H}{2R^{2}}=\frac{270r^{2}}{2R^{2}}$$

2R^{2}-ga jagamine võtab 2R^{2}-ga korrutamise tagasi.

$$H=\frac{270r^{2}}{2R^{2}}$$

Jagage 270r^{2} väärtusega 2R^{2}.

$$H=\frac{135r^{2}}{R^{2}}$$

Lahendage ja leidke R (complex solution)

$$\left\{\begin{matrix}R=-3\sqrt{15}H^{-\frac{1}{2}}r\text{; }R=3\sqrt{15}H^{-\frac{1}{2}}r\text{, }&H\neq 0\\R\in \mathrm{C}\text{, }&r=0\text{ and }H=0\end{matrix}\right,$$

Lahendage ja leidke R

$$\left\{\begin{matrix}R=3\sqrt{\frac{15}{H}}r\text{; }R=-3\sqrt{\frac{15}{H}}r\text{, }&H>0\\R=0\text{, }&r=0\text{ and }H\neq 0\\R\in \mathrm{R}\text{, }&r=0\text{ and }H=0\end{matrix}\right,$$