Whakaoti i te 1/200*x^2=137902

$$1 / 200 \times x ^ { 2 } = 137902$$

Whakaoti mō x

$$x=380\sqrt{191}\approx 5251.704485212$$

$$x=-380\sqrt{191}\approx -5251.704485212$$

Ngā Upane mā te Kimi Pūtakerua

Me whakarea ngā taha e rua ki te 200, te tau utu o \frac{1}{200}.

$$x^{2}=137902\times 200$$

Whakareatia te 137902 ki te 200, ka 27580400.

$$x^{2}=27580400$$

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

$$x=380\sqrt{191} x=-380\sqrt{191}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Me whakarea ngā taha e rua ki te 200, te tau utu o \frac{1}{200}.

$$x^{2}=137902\times 200$$

Whakareatia te 137902 ki te 200, ka 27580400.

$$x^{2}=27580400$$

Tangohia te 27580400 mai i ngā taha e rua.

$$x^{2}-27580400=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -27580400 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-27580400\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-27580400\right)}}{2}$$

Whakareatia -4 ki te -27580400.

$$x=\frac{0±\sqrt{110321600}}{2}$$

Tuhia te pūtakerua o te 110321600.

$$x=\frac{0±760\sqrt{191}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±760\sqrt{191}}{2} ina he tāpiri te ±.

$$x=380\sqrt{191}$$

Nā, me whakaoti te whārite x=\frac{0±760\sqrt{191}}{2} ina he tango te ±.

$$x=-380\sqrt{191}$$

Kua oti te whārite te whakatau.

$$x=380\sqrt{191} x=-380\sqrt{191}$$