Atrisiniet T=2pisqrt{l/98}quad[2]

$$T = 2 \pi \sqrt { \frac { l } { 98 } } \quad [ 2 ]$$

Atrast l

$$l=\frac{49\times \left(\frac{T}{\pi }\right)^{2}}{8}$$

$$T\geq 0$$

Vienādojumu sakņu atrisināšanas darbības

Reiziniet 2 un 2, lai iegūtu 4.

$$T=4\pi \sqrt{\frac{l}{98}}$$

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

$$4\pi \sqrt{\frac{l}{98}}=T$$

Daliet abas puses ar 4\pi .

$$\frac{4\pi \sqrt{\frac{1}{98}l}}{4\pi }=\frac{T}{4\pi }$$

Dalīšana ar 4\pi atsauc reizināšanu ar 4\pi .

$$\sqrt{\frac{1}{98}l}=\frac{T}{4\pi }$$

Kāpiniet kvadrātā abas vienādojuma puses.

$$\frac{1}{98}l=\frac{T^{2}}{16\pi ^{2}}$$

Reiziniet abas puses ar 98.

$$\frac{\frac{1}{98}l}{\frac{1}{98}}=\frac{T^{2}}{\frac{1}{98}\times 16\pi ^{2}}$$

Dalīšana ar \frac{1}{98} atsauc reizināšanu ar \frac{1}{98}.

$$l=\frac{T^{2}}{\frac{1}{98}\times 16\pi ^{2}}$$

Daliet \frac{T^{2}}{16\pi ^{2}} ar \frac{1}{98}, reizinot \frac{T^{2}}{16\pi ^{2}} ar apgriezto daļskaitli \frac{1}{98} .

$$l=\frac{49T^{2}}{8\pi ^{2}}$$

Atrast T (complex solution)

$$T=\frac{2\pi \sqrt{2l}}{7}$$

Atrast l (complex solution)

$$l=\frac{49\times \left(\frac{T}{\pi }\right)^{2}}{8}$$

$$|\frac{arg(T^{2})}{2}-arg(T)|<\pi \text{ or }T=0$$

Atrast T

$$T=\frac{2\pi \sqrt{2l}}{7}$$

$$l\geq 0$$