Whakaoti i te 5x*6262x=6

$$5x \times 6262x=6$$

Whakaoti mō x

$$x=\frac{\sqrt{46965}}{15655}\approx 0.013843123$$

$$x=-\frac{\sqrt{46965}}{15655}\approx -0.013843123$$

Ngā Upane mā te Kimi Pūtakerua

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

$$5x^{2}\times 6262=6$$

Whakareatia te 5 ki te 6262, ka 31310.

$$31310x^{2}=6$$

Whakawehea ngā taha e rua ki te 31310.

$$x^{2}=\frac{6}{31310}$$

Whakahekea te hautanga \frac{6}{31310} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x^{2}=\frac{3}{15655}$$

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

$$x=\frac{\sqrt{46965}}{15655} x=-\frac{\sqrt{46965}}{15655}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$5x^{2}\times 6262=6$$

Whakareatia te 5 ki te 6262, ka 31310.

$$31310x^{2}=6$$

Tangohia te 6 mai i ngā taha e rua.

$$31310x^{2}-6=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 31310 mō a, 0 mō b, me -6 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 31310\left(-6\right)}}{2\times 31310}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 31310\left(-6\right)}}{2\times 31310}$$

Whakareatia -4 ki te 31310.

$$x=\frac{0±\sqrt{-125240\left(-6\right)}}{2\times 31310}$$

Whakareatia -125240 ki te -6.

$$x=\frac{0±\sqrt{751440}}{2\times 31310}$$

Tuhia te pūtakerua o te 751440.

$$x=\frac{0±4\sqrt{46965}}{2\times 31310}$$

Whakareatia 2 ki te 31310.

$$x=\frac{0±4\sqrt{46965}}{62620}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{46965}}{62620} ina he tāpiri te ±.

$$x=\frac{\sqrt{46965}}{15655}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{46965}}{62620} ina he tango te ±.

$$x=-\frac{\sqrt{46965}}{15655}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{46965}}{15655} x=-\frac{\sqrt{46965}}{15655}$$