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

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

Atrast u_13

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

Lineāra vienādojuma risināšanas darbības

Reiziniet vienādojuma abas puses ar 3.

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

Reiziniet 866 un 3, lai iegūtu 2598.

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

Saskaitiet 2598 un 2, lai iegūtu 2600.

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

Atņemiet 2u_{k}^{2} no abām pusēm. Atņemot nu nulles jebko, iegūst tā noliegumu.

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

Atņemiet 2600 no abām pusēm.

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

Daliet abas puses ar -180.

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

Dalīšana ar -180 atsauc reizināšanu ar -180.

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

Daliet -2u_{k}^{2}-2600 ar -180.

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

Atrast u_k (complex solution)

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

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

Atrast u_k

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

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