Whakaoti i te 250xx=24

$$250 x x = 24$$

Whakaoti mō x

$$x=\frac{2\sqrt{15}}{25}\approx 0.309838668$$

$$x=-\frac{2\sqrt{15}}{25}\approx -0.309838668$$

Ngā Upane mā te Kimi Pūtakerua

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

$$250x^{2}=24$$

Whakawehea ngā taha e rua ki te 250.

$$x^{2}=\frac{24}{250}$$

Whakahekea te hautanga \frac{24}{250} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x^{2}=\frac{12}{125}$$

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

$$x=\frac{2\sqrt{15}}{25} x=-\frac{2\sqrt{15}}{25}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$250x^{2}=24$$

Tangohia te 24 mai i ngā taha e rua.

$$250x^{2}-24=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 250 mō a, 0 mō b, me -24 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 250\left(-24\right)}}{2\times 250}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 250\left(-24\right)}}{2\times 250}$$

Whakareatia -4 ki te 250.

$$x=\frac{0±\sqrt{-1000\left(-24\right)}}{2\times 250}$$

Whakareatia -1000 ki te -24.

$$x=\frac{0±\sqrt{24000}}{2\times 250}$$

Tuhia te pūtakerua o te 24000.

$$x=\frac{0±40\sqrt{15}}{2\times 250}$$

Whakareatia 2 ki te 250.

$$x=\frac{0±40\sqrt{15}}{500}$$

Nā, me whakaoti te whārite x=\frac{0±40\sqrt{15}}{500} ina he tāpiri te ±.

$$x=\frac{2\sqrt{15}}{25}$$

Nā, me whakaoti te whārite x=\frac{0±40\sqrt{15}}{500} ina he tango te ±.

$$x=-\frac{2\sqrt{15}}{25}$$

Kua oti te whārite te whakatau.

$$x=\frac{2\sqrt{15}}{25} x=-\frac{2\sqrt{15}}{25}$$