Whakaoti i te 2x^2+100^2-250^2=0

$$2 x ^ { 2 } + 100 ^ { 2 } - 250 ^ { 2 } = 0$$

Whakaoti mō x

$$x=25\sqrt{42}\approx 162.01851746$$

$$x=-25\sqrt{42}\approx -162.01851746$$

Ngā Upane mā te Kimi Pūtakerua

Tātaihia te 100 mā te pū o 2, kia riro ko 10000.

$$2x^{2}[phone]^{2}=0$$

Tātaihia te 250 mā te pū o 2, kia riro ko 62500.

$$2x^{2}[phone]=0$$

Tangohia te 62500 i te 10000, ka -52500.

$$2x^{2}-52500=0$$

Me tāpiri te 52500 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$2x^{2}=52500$$

Whakawehea ngā taha e rua ki te 2.

$$x^{2}=\frac{52500}{2}$$

Whakawehea te 52500 ki te 2, kia riro ko 26250.

$$x^{2}=26250$$

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

$$x=25\sqrt{42} x=-25\sqrt{42}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tātaihia te 100 mā te pū o 2, kia riro ko 10000.

$$2x^{2}[phone]^{2}=0$$

Tātaihia te 250 mā te pū o 2, kia riro ko 62500.

$$2x^{2}[phone]=0$$

Tangohia te 62500 i te 10000, ka -52500.

$$2x^{2}-52500=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 2 mō a, 0 mō b, me -52500 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-52500\right)}}{2\times 2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 2\left(-52500\right)}}{2\times 2}$$

Whakareatia -4 ki te 2.

$$x=\frac{0±\sqrt{-8\left(-52500\right)}}{2\times 2}$$

Whakareatia -8 ki te -52500.

$$x=\frac{0±\sqrt{420000}}{2\times 2}$$

Tuhia te pūtakerua o te 420000.

$$x=\frac{0±100\sqrt{42}}{2\times 2}$$

Whakareatia 2 ki te 2.

$$x=\frac{0±100\sqrt{42}}{4}$$

Nā, me whakaoti te whārite x=\frac{0±100\sqrt{42}}{4} ina he tāpiri te ±.

$$x=25\sqrt{42}$$

Nā, me whakaoti te whārite x=\frac{0±100\sqrt{42}}{4} ina he tango te ±.

$$x=-25\sqrt{42}$$

Kua oti te whārite te whakatau.

$$x=25\sqrt{42} x=-25\sqrt{42}$$