Whakaoti i te 10^4*(4x+02)=10*(10sqrt{2})^2+400

$$10 ^ { 4 } \cdot ( 4 x + 02 ) = 10 \cdot ( 10 \sqrt { 2 } ) ^ { 2 } + 400$$

Whakaoti mō x

$$x=\frac{3}{50}=0.06$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 10 mā te pū o 4, kia riro ko 10000.

$$10000\left(4x+0\times 2\right)=10\times \left(10\sqrt{2}\right)^{2}+400$$

Whakareatia te 0 ki te 2, ka 0.

$$10000\left(4x+0\right)=10\times \left(10\sqrt{2}\right)^{2}+400$$

Ko te tau i tāpiria he kore ka hua koia tonu.

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

Whakareatia te 10000 ki te 4, ka 40000.

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

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

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

Tātaihia te 10 mā te pū o 2, kia riro ko 100.

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

Ko te pūrua o \sqrt{2} ko 2.

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

Whakareatia te 100 ki te 2, ka 200.

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

Whakareatia te 10 ki te 200, ka 2000.

$$40000x=2000+400$$

Tāpirihia te 2000 ki te 400, ka 2400.

$$40000x=2400$$

Whakawehea ngā taha e rua ki te 40000.

$$x=\frac{2400}{40000}$$

Whakahekea te hautanga \frac{2400}{40000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 800.

$$x=\frac{3}{50}$$