Whakaoti i te xex-1=0

$$xex-1=0$$

Whakaoti mō x

$$x=\frac{1}{\sqrt{e}}\approx 0.60653066$$

$$x=-\frac{1}{\sqrt{e}}\approx -0.60653066$$

Ngā Upane mā te Kimi Pūtakerua

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

$$x^{2}e-1=0$$

Me tāpiri te 1 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$x^{2}e=1$$

Whakawehea ngā taha e rua ki te e.

$$\frac{ex^{2}}{e}=\frac{1}{e}$$

Mā te whakawehe ki te e ka wetekia te whakareanga ki te e.

$$x^{2}=\frac{1}{e}$$

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

$$x=\frac{1}{\sqrt{e}} x=-\frac{1}{\sqrt{e}}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$x^{2}e-1=0$$

Ko ngā tikanga tātai pūrua pēnei i tēnei nā, me te kīanga tau x^{2} engari kāore he kīanga tau x, ka taea tonu te whakaoti mā te whakamahi i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ina tuhia ki te tānga ngahuru: ax^{2}+bx+c=0.

$$ex^{2}-1=0$$

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

$$x=\frac{0±\sqrt{0^{2}-4e\left(-1\right)}}{2e}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4e\left(-1\right)}}{2e}$$

Whakareatia -4 ki te e.

$$x=\frac{0±\sqrt{\left(-4e\right)\left(-1\right)}}{2e}$$

Whakareatia -4e ki te -1.

$$x=\frac{0±\sqrt{4e}}{2e}$$

Tuhia te pūtakerua o te 4e.

$$x=\frac{0±2\sqrt{e}}{2e}$$

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

$$x=\frac{1}{\sqrt{e}}$$

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

$$x=-\frac{1}{\sqrt{e}}$$

Kua oti te whārite te whakatau.

$$x=\frac{1}{\sqrt{e}} x=-\frac{1}{\sqrt{e}}$$