Whakaoti i te x=32divx

$$x=32 \div x$$

Whakaoti mō x

$$x=4\sqrt{2}\approx 5.656854249$$

$$x=-4\sqrt{2}\approx -5.656854249$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te \frac{32}{x} mai i ngā taha e rua.

$$x-\frac{32}{x}=0$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia x ki te \frac{x}{x}.

$$\frac{xx}{x}-\frac{32}{x}=0$$

Tā te mea he rite te tauraro o \frac{xx}{x} me \frac{32}{x}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{xx-32}{x}=0$$

Mahia ngā whakarea i roto o xx-32.

$$\frac{x^{2}-32}{x}=0$$

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x.

$$x^{2}-32=0$$

Me tāpiri te 32 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$x^{2}=32$$

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

$$x=4\sqrt{2} x=-4\sqrt{2}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te \frac{32}{x} mai i ngā taha e rua.

$$x-\frac{32}{x}=0$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia x ki te \frac{x}{x}.

$$\frac{xx}{x}-\frac{32}{x}=0$$

Tā te mea he rite te tauraro o \frac{xx}{x} me \frac{32}{x}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{xx-32}{x}=0$$

Mahia ngā whakarea i roto o xx-32.

$$\frac{x^{2}-32}{x}=0$$

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x.

$$x^{2}-32=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -32 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-32\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-32\right)}}{2}$$

Whakareatia -4 ki te -32.

$$x=\frac{0±\sqrt{128}}{2}$$

Tuhia te pūtakerua o te 128.

$$x=\frac{0±8\sqrt{2}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±8\sqrt{2}}{2} ina he tāpiri te ±.

$$x=4\sqrt{2}$$

Nā, me whakaoti te whārite x=\frac{0±8\sqrt{2}}{2} ina he tango te ±.

$$x=-4\sqrt{2}$$

Kua oti te whārite te whakatau.

$$x=4\sqrt{2} x=-4\sqrt{2}$$