Whakaoti i te -1-5x^2=-321

$$- 1 - 5 x ^ { 2 } = - 321$$

Whakaoti mō x

$$x=8$$

$$x=-8$$

Ngā Upane mā te Kimi Pūtakerua

Me tāpiri te 1 ki ngā taha e rua.

$$-5x^{2}=-321+1$$

Tāpirihia te -321 ki te 1, ka -320.

$$-5x^{2}=-320$$

Whakawehea ngā taha e rua ki te -5.

$$x^{2}=\frac{-320}{-5}$$

Whakawehea te -320 ki te -5, kia riro ko 64.

$$x^{2}=64$$

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

$$x=8 x=-8$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Me tāpiri te 321 ki ngā taha e rua.

$$-1-5x^{2}+321=0$$

Tāpirihia te -1 ki te 321, ka 320.

$$320-5x^{2}=0$$

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.

$$-5x^{2}+320=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi -5 mō a, 0 mō b, me 320 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-5\right)\times 320}}{2\left(-5\right)}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-5\right)\times 320}}{2\left(-5\right)}$$

Whakareatia -4 ki te -5.

$$x=\frac{0±\sqrt{20\times 320}}{2\left(-5\right)}$$

Whakareatia 20 ki te 320.

$$x=\frac{0±\sqrt{6400}}{2\left(-5\right)}$$

Tuhia te pūtakerua o te 6400.

$$x=\frac{0±80}{2\left(-5\right)}$$

Whakareatia 2 ki te -5.

$$x=\frac{0±80}{-10}$$

Nā, me whakaoti te whārite x=\frac{0±80}{-10} ina he tāpiri te ±. Whakawehe 80 ki te -10.

$$x=-8$$

Nā, me whakaoti te whārite x=\frac{0±80}{-10} ina he tango te ±. Whakawehe -80 ki te -10.

$$x=8$$

Kua oti te whārite te whakatau.

$$x=-8 x=8$$