Whakaoti i te x^2-323100=0

$$x ^ { 2 } - 323100 = 0$$

Whakaoti mō x

$$x=30\sqrt{359}\approx 568.418859645$$

$$x=-30\sqrt{359}\approx -568.418859645$$

Ngā Upane mā te Kimi Pūtakerua

Me tāpiri te 323100 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$x^{2}=323100$$

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

$$x=30\sqrt{359} x=-30\sqrt{359}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Ko ngā tikanga tātai pūrua pēnei i tēnei nā, me te kīanga tau x^{2} engari kāore he kīanga tau x, ka taea tonu te whakaoti mā te whakamahi i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ina tuhia ki te tānga ngahuru: ax^{2}+bx+c=0.

$$x^{2}-323100=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -323100 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-323100\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-323100\right)}}{2}$$

Whakareatia -4 ki te -323100.

$$x=\frac{0±\sqrt{1292400}}{2}$$

Tuhia te pūtakerua o te 1292400.

$$x=\frac{0±60\sqrt{359}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±60\sqrt{359}}{2} ina he tāpiri te ±.

$$x=30\sqrt{359}$$

Nā, me whakaoti te whārite x=\frac{0±60\sqrt{359}}{2} ina he tango te ±.

$$x=-30\sqrt{359}$$

Kua oti te whārite te whakatau.

$$x=30\sqrt{359} x=-30\sqrt{359}$$