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

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

Datrys ar gyfer u_13

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

Camau ar gyfer Datrys Hafaliad Llinol

Lluoswch ddwy ochr yr hafaliad â 3.

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

Lluosi 866 a 3 i gael 2598.

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

Adio 2598 a 2 i gael 2600.

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

Tynnu 2u_{k}^{2} o'r ddwy ochr. Mae tynnu unrhyw beth o sero’n rhoi negydd y swm.

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

Tynnu 2600 o'r ddwy ochr.

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

Rhannu’r ddwy ochr â -180.

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

Mae rhannu â -180 yn dad-wneud lluosi â -180.

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

Rhannwch -2u_{k}^{2}-2600 â -180.

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

Datrys ar gyfer u_k (complex solution)

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

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

Datrys ar gyfer u_k

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

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