Atrisiniet F=frac{KQ_{1}*O_{2}}{d^2}

$$F = \frac { K Q _ { 1 } \cdot O _ { 2 } } { d ^ { 2 } }$$

Atrast K (complex solution)

$$\left\{\begin{matrix}K=\frac{Fd^{2}}{O_{2}Q_{1}}\text{, }&O_{2}\neq 0\text{ and }Q_{1}\neq 0\text{ and }d\neq 0\\K\in \mathrm{C}\text{, }&\left(O_{2}=0\text{ or }Q_{1}=0\right)\text{ and }F=0\text{ and }d\neq 0\end{matrix}\right,$$

Lineāra vienādojuma risināšanas darbības

Reiziniet vienādojuma abas puses ar d^{2}.

$$Fd^{2}=KQ_{1}O_{2}$$

Mainiet puses tā, lai visi mainīgie locekļi atrastos pa kreisi.

$$KQ_{1}O_{2}=Fd^{2}$$

Vienādojums ir standarta formā.

$$O_{2}Q_{1}K=Fd^{2}$$

Daliet abas puses ar Q_{1}O_{2}.

$$\frac{O_{2}Q_{1}K}{O_{2}Q_{1}}=\frac{Fd^{2}}{O_{2}Q_{1}}$$

Dalīšana ar Q_{1}O_{2} atsauc reizināšanu ar Q_{1}O_{2}.

$$K=\frac{Fd^{2}}{O_{2}Q_{1}}$$

Atrast K

$$\left\{\begin{matrix}K=\frac{Fd^{2}}{O_{2}Q_{1}}\text{, }&O_{2}\neq 0\text{ and }Q_{1}\neq 0\text{ and }d\neq 0\\K\in \mathrm{R}\text{, }&\left(O_{2}=0\text{ or }Q_{1}=0\right)\text{ and }F=0\text{ and }d\neq 0\end{matrix}\right,$$

Lineāra vienādojuma risināšanas darbības

Reiziniet vienādojuma abas puses ar d^{2}.

$$Fd^{2}=KQ_{1}O_{2}$$

Mainiet puses tā, lai visi mainīgie locekļi atrastos pa kreisi.

$$KQ_{1}O_{2}=Fd^{2}$$

Vienādojums ir standarta formā.

$$O_{2}Q_{1}K=Fd^{2}$$

Daliet abas puses ar Q_{1}O_{2}.

$$\frac{O_{2}Q_{1}K}{O_{2}Q_{1}}=\frac{Fd^{2}}{O_{2}Q_{1}}$$

Dalīšana ar Q_{1}O_{2} atsauc reizināšanu ar Q_{1}O_{2}.

$$K=\frac{Fd^{2}}{O_{2}Q_{1}}$$

Atrast F

$$F=\frac{KO_{2}Q_{1}}{d^{2}}$$

$$d\neq 0$$