Whakaoti i te 2x^2+4=72

$$2 x ^ { 2 } + 4 = 72$$

Whakaoti mō x

$$x=\sqrt{34}\approx 5.830951895$$

$$x=-\sqrt{34}\approx -5.830951895$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 4 mai i ngā taha e rua.

$$2x^{2}=72-4$$

Tangohia te 4 i te 72, ka 68.

$$2x^{2}=68$$

Whakawehea ngā taha e rua ki te 2.

$$x^{2}=\frac{68}{2}$$

Whakawehea te 68 ki te 2, kia riro ko 34.

$$x^{2}=34$$

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

$$x=\sqrt{34} x=-\sqrt{34}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 72 mai i ngā taha e rua.

$$2x^{2}+4-72=0$$

Tangohia te 72 i te 4, ka -68.

$$2x^{2}-68=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 2 mō a, 0 mō b, me -68 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-68\right)}}{2\times 2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 2\left(-68\right)}}{2\times 2}$$

Whakareatia -4 ki te 2.

$$x=\frac{0±\sqrt{-8\left(-68\right)}}{2\times 2}$$

Whakareatia -8 ki te -68.

$$x=\frac{0±\sqrt{544}}{2\times 2}$$

Tuhia te pūtakerua o te 544.

$$x=\frac{0±4\sqrt{34}}{2\times 2}$$

Whakareatia 2 ki te 2.

$$x=\frac{0±4\sqrt{34}}{4}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{34}}{4} ina he tāpiri te ±.

$$x=\sqrt{34}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{34}}{4} ina he tango te ±.

$$x=-\sqrt{34}$$

Kua oti te whārite te whakatau.

$$x=\sqrt{34} x=-\sqrt{34}$$