Whakaoti i te -5p^2+4=0

$$- 5 p ^ { 2 } + 4 = 0$$

Whakaoti mō p

$$p=\frac{2\sqrt{5}}{5}\approx 0.894427191$$

$$p=-\frac{2\sqrt{5}}{5}\approx -0.894427191$$

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.

$$-5p^{2}=-4$$

Whakawehea ngā taha e rua ki te -5.

$$p^{2}=\frac{-4}{-5}$$

Ka taea te hautanga \frac{-4}{-5} te whakamāmā ki te \frac{4}{5} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$p^{2}=\frac{4}{5}$$

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

$$p=\frac{2\sqrt{5}}{5} p=-\frac{2\sqrt{5}}{5}$$

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.

$$-5p^{2}+4=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi -5 mō a, 0 mō b, me 4 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$p=\frac{0±\sqrt{0^{2}-4\left(-5\right)\times 4}}{2\left(-5\right)}$$

Pūrua 0.

$$p=\frac{0±\sqrt{-4\left(-5\right)\times 4}}{2\left(-5\right)}$$

Whakareatia -4 ki te -5.

$$p=\frac{0±\sqrt{20\times 4}}{2\left(-5\right)}$$

Whakareatia 20 ki te 4.

$$p=\frac{0±\sqrt{80}}{2\left(-5\right)}$$

Tuhia te pūtakerua o te 80.

$$p=\frac{0±4\sqrt{5}}{2\left(-5\right)}$$

Whakareatia 2 ki te -5.

$$p=\frac{0±4\sqrt{5}}{-10}$$

Nā, me whakaoti te whārite p=\frac{0±4\sqrt{5}}{-10} ina he tāpiri te ±.

$$p=-\frac{2\sqrt{5}}{5}$$

Nā, me whakaoti te whārite p=\frac{0±4\sqrt{5}}{-10} ina he tango te ±.

$$p=\frac{2\sqrt{5}}{5}$$

Kua oti te whārite te whakatau.

$$p=-\frac{2\sqrt{5}}{5} p=\frac{2\sqrt{5}}{5}$$