Whakaoti i te 3x^2+4=436

$$3 x ^ { 2 } + 4 = 436$$

Whakaoti mō x

$$x=12$$

$$x=-12$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Tangohia te 436 mai i ngā taha e rua.

$$3x^{2}+4-436=0$$

Tangohia te 436 i te 4, ka -432.

$$3x^{2}-432=0$$

Whakawehea ngā taha e rua ki te 3.

$$x^{2}-144=0$$

Whakaarohia te x^{2}-144. Tuhia anō te x^{2}-144 hei x^{2}-12^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(x-12\right)\left(x+12\right)=0$$

Hei kimi otinga whārite, me whakaoti te x-12=0 me te x+12=0.

$$x=12 x=-12$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 4 mai i ngā taha e rua.

$$3x^{2}=436-4$$

Tangohia te 4 i te 436, ka 432.

$$3x^{2}=432$$

Whakawehea ngā taha e rua ki te 3.

$$x^{2}=\frac{432}{3}$$

Whakawehea te 432 ki te 3, kia riro ko 144.

$$x^{2}=144$$

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

$$x=12 x=-12$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 436 mai i ngā taha e rua.

$$3x^{2}+4-436=0$$

Tangohia te 436 i te 4, ka -432.

$$3x^{2}-432=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 3 mō a, 0 mō b, me -432 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 3\left(-432\right)}}{2\times 3}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 3\left(-432\right)}}{2\times 3}$$

Whakareatia -4 ki te 3.

$$x=\frac{0±\sqrt{-12\left(-432\right)}}{2\times 3}$$

Whakareatia -12 ki te -432.

$$x=\frac{0±\sqrt{5184}}{2\times 3}$$

Tuhia te pūtakerua o te 5184.

$$x=\frac{0±72}{2\times 3}$$

Whakareatia 2 ki te 3.

$$x=\frac{0±72}{6}$$

Nā, me whakaoti te whārite x=\frac{0±72}{6} ina he tāpiri te ±. Whakawehe 72 ki te 6.

$$x=12$$

Nā, me whakaoti te whārite x=\frac{0±72}{6} ina he tango te ±. Whakawehe -72 ki te 6.

$$x=-12$$

Kua oti te whārite te whakatau.

$$x=12 x=-12$$