Whakaoti i te -x^2=-9

$$- { x }^{ 2 } =-9$$

Whakaoti mō x

$$x=3$$

$$x=-3$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te -1.

$$x^{2}=\frac{-9}{-1}$$

Ka taea te hautanga \frac{-9}{-1} te whakamāmā ki te 9 mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x^{2}=9$$

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

$$x=3 x=-3$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Me tāpiri te 9 ki ngā taha e rua.

$$-x^{2}+9=0$$

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

$$x=\frac{0±\sqrt{0^{2}-4\left(-1\right)\times 9}}{2\left(-1\right)}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-1\right)\times 9}}{2\left(-1\right)}$$

Whakareatia -4 ki te -1.

$$x=\frac{0±\sqrt{4\times 9}}{2\left(-1\right)}$$

Whakareatia 4 ki te 9.

$$x=\frac{0±\sqrt{36}}{2\left(-1\right)}$$

Tuhia te pūtakerua o te 36.

$$x=\frac{0±6}{2\left(-1\right)}$$

Whakareatia 2 ki te -1.

$$x=\frac{0±6}{-2}$$

Nā, me whakaoti te whārite x=\frac{0±6}{-2} ina he tāpiri te ±. Whakawehe 6 ki te -2.

$$x=-3$$

Nā, me whakaoti te whārite x=\frac{0±6}{-2} ina he tango te ±. Whakawehe -6 ki te -2.

$$x=3$$

Kua oti te whārite te whakatau.

$$x=-3 x=3$$