Réitigh 2/3u_k^2-60u_{13}+8662/3=0

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

Réitigh do u_13.

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

Céimeanna chun Cothromóidí Líneacha a Réiteach

Méadaigh an dá thaobh den chothromóid faoi 3.

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

Méadaigh 866 agus 3 chun 2598 a fháil.

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

Suimigh 2598 agus 2 chun 2600 a fháil.

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

Bain 2u_{k}^{2} ón dá thaobh. Is ionann rud ar bith a dhealaítear ó nialas agus a shéanadh.

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

Bain 2600 ón dá thaobh.

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

Roinn an dá thaobh faoi -180.

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

Má roinntear é faoi -180 cuirtear an iolrúchán faoi -180 ar ceal.

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

Roinn -2u_{k}^{2}-2600 faoi -180.

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

Réitigh do u_k. (complex solution)

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

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

Réitigh do u_k.

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

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