Whakaoti i te 1/200*x^2=1379.02

$$1 / 200 \times x ^ { 2 } = 1379.02$$

Whakaoti mō x

$$x=38\sqrt{191}\approx 525.170448521$$

$$x=-38\sqrt{191}\approx -525.170448521$$

Ngā Upane mā te Kimi Pūtakerua

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

$$x^{2}=1379.02\times 200$$

Whakareatia te 1379.02 ki te 200, ka 275804.

$$x^{2}=275804$$

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

$$x=38\sqrt{191} x=-38\sqrt{191}$$

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}.

$$x^{2}=1379.02\times 200$$

Whakareatia te 1379.02 ki te 200, ka 275804.

$$x^{2}=275804$$

Tangohia te 275804 mai i ngā taha e rua.

$$x^{2}-275804=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -275804 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-275804\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-275804\right)}}{2}$$

Whakareatia -4 ki te -275804.

$$x=\frac{0±\sqrt{1103216}}{2}$$

Tuhia te pūtakerua o te 1103216.

$$x=\frac{0±76\sqrt{191}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±76\sqrt{191}}{2} ina he tāpiri te ±.

$$x=38\sqrt{191}$$

Nā, me whakaoti te whārite x=\frac{0±76\sqrt{191}}{2} ina he tango te ±.

$$x=-38\sqrt{191}$$

Kua oti te whārite te whakatau.

$$x=38\sqrt{191} x=-38\sqrt{191}$$