Issolvi 2/3u_k^2-60u_{13}+8662/3=0

$$\frac { 2 } { 3 } u _ { k } ^ { 2 } - 60 u _ { 13 } + 866 \frac { 2 } { 3 } = 0$$

Solvi għal u_13

$$u_{13}=\frac{u_{k}^{2}+1300}{90}$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'3.

$$2u_{k}^{2}-180u_{13}+866\times 3+2=0$$

Immultiplika 866 u 3 biex tikseb 2598.

$$2u_{k}^{2}-180u_{13}+2598+2=0$$

Żid 2598 u 2 biex tikseb 2600.

$$2u_{k}^{2}-180u_{13}+2600=0$$

Naqqas 2u_{k}^{2} miż-żewġ naħat. Xi ħaġa mnaqqsa minn żero tagħti numru negattiv.

$$-180u_{13}+2600=-2u_{k}^{2}$$

Naqqas 2600 miż-żewġ naħat.

$$-180u_{13}=-2u_{k}^{2}-2600$$

Iddividi ż-żewġ naħat b'-180.

$$\frac{-180u_{13}}{-180}=\frac{-2u_{k}^{2}-2600}{-180}$$

Meta tiddividi b'-180 titneħħa l-multiplikazzjoni b'-180.

$$u_{13}=\frac{-2u_{k}^{2}-2600}{-180}$$

Iddividi -2u_{k}^{2}-2600 b'-180.

$$u_{13}=\frac{u_{k}^{2}}{90}+\frac{130}{9}$$

Solvi għal u_k (complex solution)

$$u_{k}=-\sqrt{90u_{13}-1300}$$

$$u_{k}=\sqrt{90u_{13}-1300}$$

Solvi għal u_k

$$u_{k}=\sqrt{90u_{13}-1300}$$

$$u_{k}=-\sqrt{90u_{13}-1300}\text{, }u_{13}\geq \frac{130}{9}$$