Datrys 10^4*(4x+0.2)=10*(10sqrt{2})^2+400

$$10 ^ { 4 } \cdot ( 4 x + 0.2 ) = 10 \cdot ( 10 \sqrt { 2 } ) ^ { 2 } + 400$$

Datrys ar gyfer x

$$x=0.01$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfrifo 10 i bŵer 4 a chael 10000.

$$10000\left(4x+0.2\right)=10\times \left(10\sqrt{2}\right)^{2}+400$$

Defnyddio’r briodwedd ddosbarthu i luosi 10000 â 4x+0.2.

$$40000x+2000=10\times \left(10\sqrt{2}\right)^{2}+400$$

Ehangu \left(10\sqrt{2}\right)^{2}.

$$40000x+2000=10\times 10^{2}\left(\sqrt{2}\right)^{2}+400$$

Cyfrifo 10 i bŵer 2 a chael 100.

$$40000x+2000=10\times 100\left(\sqrt{2}\right)^{2}+400$$

Sgwâr \sqrt{2} yw 2.

$$40000x+2000=10\times 100\times 2+400$$

Lluosi 100 a 2 i gael 200.

$$40000x+2000=10\times 200+400$$

Lluosi 10 a 200 i gael 2000.

$$40000x+2000=2000+400$$

Adio 2000 a 400 i gael 2400.

$$40000x+2000=2400$$

Tynnu 2000 o'r ddwy ochr.

$$40000x=2400-2000$$

Tynnu 2000 o 2400 i gael 400.

$$40000x=400$$

Rhannu’r ddwy ochr â 40000.

$$x=\frac{400}{40000}$$

Lleihau'r ffracsiwn \frac{400}{40000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 400.

$$x=\frac{1}{100}$$