Datrys (x-y)(400+5y)=4250

$$( x - y ) ( 400 + 5 y ) = 4250$$

Datrys ar gyfer x

$$x=\frac{y^{2}+80y+850}{y+80}$$

$$y\neq -80$$

Camau ar gyfer Datrys Hafaliad Llinol

Defnyddio’r briodwedd ddosbarthu i luosi x-y â 400+5y.

$$400x+5xy-400y-5y^{2}=4250$$

Ychwanegu 400y at y ddwy ochr.

$$400x+5xy-5y^{2}=4250+400y$$

Ychwanegu 5y^{2} at y ddwy ochr.

$$400x+5xy=4250+400y+5y^{2}$$

Cyfuno pob term sy'n cynnwys x.

$$\left(400+5y\right)x=4250+400y+5y^{2}$$

Mae'r hafaliad yn y ffurf safonol.

$$\left(5y+400\right)x=5y^{2}+400y+4250$$

Rhannu’r ddwy ochr â 400+5y.

$$\frac{\left(5y+400\right)x}{5y+400}=\frac{5y^{2}+400y+4250}{5y+400}$$

Mae rhannu â 400+5y yn dad-wneud lluosi â 400+5y.

$$x=\frac{5y^{2}+400y+4250}{5y+400}$$

Rhannwch 4250+400y+5y^{2} â 400+5y.

$$x=\frac{y^{2}+80y+850}{y+80}$$

Datrys ar gyfer y (complex solution)

$$y=\frac{-\sqrt{x^{2}+160x+3000}+x-80}{2}$$

$$y=\frac{\sqrt{x^{2}+160x+3000}+x-80}{2}$$

Datrys ar gyfer y

$$y=\frac{-\sqrt{x^{2}+160x+3000}+x-80}{2}$$

$$y=\frac{\sqrt{x^{2}+160x+3000}+x-80}{2}\text{, }x\geq 10\sqrt{34}-80\text{ or }x\leq -10\sqrt{34}-80$$