Whakaoti i te 192-40*024*08=2x^2

$$192 - 40 \times 024 \times 08 = 2 x ^ { 2 }$$

Whakaoti mō x

$$x=4\sqrt{6}\approx 9.797958971$$

$$x=-4\sqrt{6}\approx -9.797958971$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te 40 ki te 0, ka 0.

$$192-0\times 24\times 0\times 8=2x^{2}$$

Whakareatia te 0 ki te 24, ka 0.

$$192-0\times 0\times 8=2x^{2}$$

Whakareatia te 0 ki te 0, ka 0.

$$192-0\times 8=2x^{2}$$

Whakareatia te 0 ki te 8, ka 0.

$$192-0=2x^{2}$$

Tangohia te 0 i te 192, ka 192.

$$192=2x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$2x^{2}=192$$

Whakawehea ngā taha e rua ki te 2.

$$x^{2}=\frac{192}{2}$$

Whakawehea te 192 ki te 2, kia riro ko 96.

$$x^{2}=96$$

Tuhia te pūtakerua o ngā taha e rua o te whārite.

$$x=4\sqrt{6} x=-4\sqrt{6}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te 40 ki te 0, ka 0.

$$192-0\times 24\times 0\times 8=2x^{2}$$

Whakareatia te 0 ki te 24, ka 0.

$$192-0\times 0\times 8=2x^{2}$$

Whakareatia te 0 ki te 0, ka 0.

$$192-0\times 8=2x^{2}$$

Whakareatia te 0 ki te 8, ka 0.

$$192-0=2x^{2}$$

Tangohia te 0 i te 192, ka 192.

$$192=2x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$2x^{2}=192$$

Tangohia te 192 mai i ngā taha e rua.

$$2x^{2}-192=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 2 mō a, 0 mō b, me -192 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-192\right)}}{2\times 2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 2\left(-192\right)}}{2\times 2}$$

Whakareatia -4 ki te 2.

$$x=\frac{0±\sqrt{-8\left(-192\right)}}{2\times 2}$$

Whakareatia -8 ki te -192.

$$x=\frac{0±\sqrt{1536}}{2\times 2}$$

Tuhia te pūtakerua o te 1536.

$$x=\frac{0±16\sqrt{6}}{2\times 2}$$

Whakareatia 2 ki te 2.

$$x=\frac{0±16\sqrt{6}}{4}$$

Nā, me whakaoti te whārite x=\frac{0±16\sqrt{6}}{4} ina he tāpiri te ±.

$$x=4\sqrt{6}$$

Nā, me whakaoti te whārite x=\frac{0±16\sqrt{6}}{4} ina he tango te ±.

$$x=-4\sqrt{6}$$

Kua oti te whārite te whakatau.

$$x=4\sqrt{6} x=-4\sqrt{6}$$