Datrys x/3*3+x/4*4+x/6*xs+(x/4-8)*2=504

$$\frac { x } { 3 } \times 3 + \frac { x } { 4 } \times 4 + \frac { x } { 6 } \cdot x s + ( \frac { x } { 4 } - 8 ) \cdot 2 = 504$$

Datrys ar gyfer s

$$s=-\frac{15\left(x-208\right)}{x^{2}}$$

$$x\neq 0$$

Camau ar gyfer Datrys Hafaliad Llinol

Lluoswch ddwy ochr yr hafaliad wrth 12, lluoswm cyffredin lleiaf 3,4,6.

$$4x\times 3+3x\times 4+2xxs+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Lluosi x a x i gael x^{2}.

$$4x\times 3+3x\times 4+2x^{2}s+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Lluosi 4 a 3 i gael 12.

$$12x+3x\times 4+2x^{2}s+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Lluosi 3 a 4 i gael 12.

$$12x+12x+2x^{2}s+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Cyfuno 12x a 12x i gael 24x.

$$24x+2x^{2}s+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Lluosi 12 a 2 i gael 24.

$$24x+2x^{2}s+24\left(\frac{x}{4}-8\right)=6048$$

Defnyddio’r briodwedd ddosbarthu i luosi 24 â \frac{x}{4}-8.

$$24x+2x^{2}s+24\times \frac{x}{4}-192=6048$$

Diddymwch y ffactor cyffredin mwyaf 4 yn 24 a 4.

$$24x+2x^{2}s+6x-192=6048$$

Cyfuno 24x a 6x i gael 30x.

$$30x+2x^{2}s-192=6048$$

Tynnu 30x o'r ddwy ochr.

$$2x^{2}s-192=6048-30x$$

Ychwanegu 192 at y ddwy ochr.

$$2x^{2}s=6048-30x+192$$

Adio 6048 a 192 i gael 6240.

$$2x^{2}s=6240-30x$$

Rhannu’r ddwy ochr â 2x^{2}.

$$\frac{2x^{2}s}{2x^{2}}=\frac{6240-30x}{2x^{2}}$$

Mae rhannu â 2x^{2} yn dad-wneud lluosi â 2x^{2}.

$$s=\frac{6240-30x}{2x^{2}}$$

Rhannwch 6240-30x â 2x^{2}.

$$s=\frac{15\left(208-x\right)}{x^{2}}$$

Datrys ar gyfer x (complex solution)

$$\left\{\begin{matrix}x=\frac{\sqrt{15\left(832s+15\right)}-15}{2s}\text{; }x=-\frac{\sqrt{15}\left(\sqrt{832s+15}+\sqrt{15}\right)}{2s}\text{, }&s\neq 0\\x=208\text{, }&s=0\end{matrix}\right.$$

Datrys ar gyfer x

$$\left\{\begin{matrix}x=\frac{\sqrt{15\left(832s+15\right)}-15}{2s}\text{; }x=-\frac{\sqrt{15}\left(\sqrt{832s+15}+\sqrt{15}\right)}{2s}\text{, }&s\neq 0\text{ and }s\geq -\frac{15}{832}\\x=208\text{, }&s=0\end{matrix}\right.$$