Whakaoti i te 25-100x^2=0

$$25-100 { x }^{ 2 } =0$$

Whakaoti mō x

$$x=\frac{1}{2}=0.5$$

$$x=-\frac{1}{2}=-0.5$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 25 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-100x^{2}=-25$$

Whakawehea ngā taha e rua ki te -100.

$$x^{2}=\frac{-25}{-100}$$

Whakahekea te hautanga \frac{-25}{-100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -25.

$$x^{2}=\frac{1}{4}$$

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

$$x=\frac{1}{2} x=-\frac{1}{2}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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.

$$-100x^{2}+25=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi -100 mō a, 0 mō b, me 25 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-100\right)\times 25}}{2\left(-100\right)}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-100\right)\times 25}}{2\left(-100\right)}$$

Whakareatia -4 ki te -100.

$$x=\frac{0±\sqrt{400\times 25}}{2\left(-100\right)}$$

Whakareatia 400 ki te 25.

$$x=\frac{0±\sqrt{10000}}{2\left(-100\right)}$$

Tuhia te pūtakerua o te 10000.

$$x=\frac{0±100}{2\left(-100\right)}$$

Whakareatia 2 ki te -100.

$$x=\frac{0±100}{-200}$$

Nā, me whakaoti te whārite x=\frac{0±100}{-200} ina he tāpiri te ±. Whakahekea te hautanga \frac{100}{-200} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 100.

$$x=-\frac{1}{2}$$

Nā, me whakaoti te whārite x=\frac{0±100}{-200} ina he tango te ±. Whakahekea te hautanga \frac{-100}{-200} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 100.

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

Kua oti te whārite te whakatau.

$$x=-\frac{1}{2} x=\frac{1}{2}$$