Whakaoti i te (4x)x=165

$$(4x)x=165$$

Whakaoti mō x

$$x = \frac{\sqrt{165}}{2} \approx 6.422616289$$

$$x = -\frac{\sqrt{165}}{2} \approx -6.422616289$$

Ngā Upane mā te Kimi Pūtakerua

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

$$4x^{2}=165$$

Whakawehea ngā taha e rua ki te 4.

$$x^{2}=\frac{165}{4}$$

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

$$x=\frac{\sqrt{165}}{2} x=-\frac{\sqrt{165}}{2}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$4x^{2}=165$$

Tangohia te 165 mai i ngā taha e rua.

$$4x^{2}-165=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 4 mō a, 0 mō b, me -165 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 4\left(-165\right)}}{2\times 4}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 4\left(-165\right)}}{2\times 4}$$

Whakareatia -4 ki te 4.

$$x=\frac{0±\sqrt{-16\left(-165\right)}}{2\times 4}$$

Whakareatia -16 ki te -165.

$$x=\frac{0±\sqrt{2640}}{2\times 4}$$

Tuhia te pūtakerua o te 2640.

$$x=\frac{0±4\sqrt{165}}{2\times 4}$$

Whakareatia 2 ki te 4.

$$x=\frac{0±4\sqrt{165}}{8}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{165}}{8} ina he tāpiri te ±.

$$x=\frac{\sqrt{165}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{165}}{8} ina he tango te ±.

$$x=-\frac{\sqrt{165}}{2}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{165}}{2} x=-\frac{\sqrt{165}}{2}$$