Whakaoti i te 5x*6x=23

$$5x \cdot 6x = 23$$

Whakaoti mō x

$$x=\frac{\sqrt{690}}{30}\approx 0.875595036$$

$$x=-\frac{\sqrt{690}}{30}\approx -0.875595036$$

Ngā Upane mā te Kimi Pūtakerua

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

$$5x^{2}\times 6=23$$

Whakareatia te 5 ki te 6, ka 30.

$$30x^{2}=23$$

Whakawehea ngā taha e rua ki te 30.

$$x^{2}=\frac{23}{30}$$

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

$$x=\frac{\sqrt{690}}{30} x=-\frac{\sqrt{690}}{30}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$5x^{2}\times 6=23$$

Whakareatia te 5 ki te 6, ka 30.

$$30x^{2}=23$$

Tangohia te 23 mai i ngā taha e rua.

$$30x^{2}-23=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 30 mō a, 0 mō b, me -23 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 30\left(-23\right)}}{2\times 30}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 30\left(-23\right)}}{2\times 30}$$

Whakareatia -4 ki te 30.

$$x=\frac{0±\sqrt{-120\left(-23\right)}}{2\times 30}$$

Whakareatia -120 ki te -23.

$$x=\frac{0±\sqrt{2760}}{2\times 30}$$

Tuhia te pūtakerua o te 2760.

$$x=\frac{0±2\sqrt{690}}{2\times 30}$$

Whakareatia 2 ki te 30.

$$x=\frac{0±2\sqrt{690}}{60}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{690}}{60} ina he tāpiri te ±.

$$x=\frac{\sqrt{690}}{30}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{690}}{60} ina he tango te ±.

$$x=-\frac{\sqrt{690}}{30}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{690}}{30} x=-\frac{\sqrt{690}}{30}$$