Whakaoti i te 4-36x^2=0

$$4-36 { x }^{ 2 } =0$$

Whakaoti mō x

$$x=\frac{1}{3}\approx 0.333333333$$

$$x=-\frac{1}{3}\approx -0.333333333$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 4 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-36x^{2}=-4$$

Whakawehea ngā taha e rua ki te -36.

$$x^{2}=\frac{-4}{-36}$$

Whakahekea te hautanga \frac{-4}{-36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -4.

$$x^{2}=\frac{1}{9}$$

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

$$x=\frac{1}{3} x=-\frac{1}{3}$$

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.

$$-36x^{2}+4=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi -36 mō a, 0 mō b, me 4 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-36\right)\times 4}}{2\left(-36\right)}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-36\right)\times 4}}{2\left(-36\right)}$$

Whakareatia -4 ki te -36.

$$x=\frac{0±\sqrt{144\times 4}}{2\left(-36\right)}$$

Whakareatia 144 ki te 4.

$$x=\frac{0±\sqrt{576}}{2\left(-36\right)}$$

Tuhia te pūtakerua o te 576.

$$x=\frac{0±24}{2\left(-36\right)}$$

Whakareatia 2 ki te -36.

$$x=\frac{0±24}{-72}$$

Nā, me whakaoti te whārite x=\frac{0±24}{-72} ina he tāpiri te ±. Whakahekea te hautanga \frac{24}{-72} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 24.

$$x=-\frac{1}{3}$$

Nā, me whakaoti te whārite x=\frac{0±24}{-72} ina he tango te ±. Whakahekea te hautanga \frac{-24}{-72} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 24.

$$x=\frac{1}{3}$$

Kua oti te whārite te whakatau.

$$x=-\frac{1}{3} x=\frac{1}{3}$$