Whakaoti i te 3*x*x=78

$$3 \times x \times x = 78$$

Whakaoti mō x

$$x=\sqrt{26}\approx 5.099019514$$

$$x=-\sqrt{26}\approx -5.099019514$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te x ki te x, ka x^{2}.

$$3x^{2}=78$$

Whakawehea ngā taha e rua ki te 3.

$$x^{2}=\frac{78}{3}$$

Whakawehea te 78 ki te 3, kia riro ko 26.

$$x^{2}=26$$

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

$$x=\sqrt{26} x=-\sqrt{26}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te x ki te x, ka x^{2}.

$$3x^{2}=78$$

Tangohia te 78 mai i ngā taha e rua.

$$3x^{2}-78=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 3 mō a, 0 mō b, me -78 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 3\left(-78\right)}}{2\times 3}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 3\left(-78\right)}}{2\times 3}$$

Whakareatia -4 ki te 3.

$$x=\frac{0±\sqrt{-12\left(-78\right)}}{2\times 3}$$

Whakareatia -12 ki te -78.

$$x=\frac{0±\sqrt{936}}{2\times 3}$$

Tuhia te pūtakerua o te 936.

$$x=\frac{0±6\sqrt{26}}{2\times 3}$$

Whakareatia 2 ki te 3.

$$x=\frac{0±6\sqrt{26}}{6}$$

Nā, me whakaoti te whārite x=\frac{0±6\sqrt{26}}{6} ina he tāpiri te ±.

$$x=\sqrt{26}$$

Nā, me whakaoti te whārite x=\frac{0±6\sqrt{26}}{6} ina he tango te ±.

$$x=-\sqrt{26}$$

Kua oti te whārite te whakatau.

$$x=\sqrt{26} x=-\sqrt{26}$$