Atrisiniet T=2pisqrt{L/a}

$$T = 2 \pi \sqrt { \frac { L } { a } }$$

Atrast L

$$L=\frac{a\times \left(\frac{T}{\pi }\right)^{2}}{4}$$

$$T\geq 0\text{ and }a\neq 0$$

Vienādojumu sakņu atrisināšanas darbības

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

$$2\pi \sqrt{\frac{L}{a}}=T$$

Daliet abas puses ar 2\pi .

$$\frac{2\pi \sqrt{\frac{1}{a}L}}{2\pi }=\frac{T}{2\pi }$$

Dalīšana ar 2\pi atsauc reizināšanu ar 2\pi .

$$\sqrt{\frac{1}{a}L}=\frac{T}{2\pi }$$

Kāpiniet kvadrātā abas vienādojuma puses.

$$\frac{1}{a}L=\frac{T^{2}}{4\pi ^{2}}$$

Daliet abas puses ar a^{-1}.

$$\frac{\frac{1}{a}La}{1}=\frac{T^{2}}{4\pi ^{2}\times \frac{1}{a}}$$

Dalīšana ar a^{-1} atsauc reizināšanu ar a^{-1}.

$$L=\frac{T^{2}}{4\pi ^{2}\times \frac{1}{a}}$$

Daliet \frac{T^{2}}{4\pi ^{2}} ar a^{-1}.

$$L=\frac{aT^{2}}{4\pi ^{2}}$$

Atrast L (complex solution)

$$L=\frac{a\times \left(\frac{T}{\pi }\right)^{2}}{4}$$

$$a\neq 0\text{ and }\left(T=0\text{ or }|\frac{arg(T^{2})}{2}-arg(T)|<\pi \right)$$

Atrast T (complex solution)

$$T=2\pi \sqrt{\frac{L}{a}}$$

$$a\neq 0$$

Atrast T

$$T=2\pi \sqrt{\frac{L}{a}}$$

$$\left(L\geq 0\text{ and }a>0\right)\text{ or }\left(L\leq 0\text{ and }a<0\right)$$