Whakaoti i te 45x^2=485

$$45 x ^ { 2 } = 485$$

Whakaoti mō x

$$x = \frac{\sqrt{97}}{3} \approx 3.282952601$$

$$x = -\frac{\sqrt{97}}{3} \approx -3.282952601$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 45.

$$x^{2}=\frac{485}{45}$$

Whakahekea te hautanga \frac{485}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x^{2}=\frac{97}{9}$$

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

$$x=\frac{\sqrt{97}}{3} x=-\frac{\sqrt{97}}{3}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawehea ngā taha e rua ki te 45.

$$x^{2}=\frac{485}{45}$$

Whakahekea te hautanga \frac{485}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x^{2}=\frac{97}{9}$$

Tangohia te \frac{97}{9} mai i ngā taha e rua.

$$x^{2}-\frac{97}{9}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -\frac{97}{9} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{97}{9}\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{97}{9}\right)}}{2}$$

Whakareatia -4 ki te -\frac{97}{9}.

$$x=\frac{0±\sqrt{\frac{388}{9}}}{2}$$

Tuhia te pūtakerua o te \frac{388}{9}.

$$x=\frac{0±\frac{2\sqrt{97}}{3}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{2\sqrt{97}}{3}}{2} ina he tāpiri te ±.

$$x=\frac{\sqrt{97}}{3}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{2\sqrt{97}}{3}}{2} ina he tango te ±.

$$x=-\frac{\sqrt{97}}{3}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{97}}{3} x=-\frac{\sqrt{97}}{3}$$