Whakaoti i te -16r^2-2=0

$$- 16 r ^ { 2 } - 2 = 0$$

Whakaoti mō r

$$r=-\frac{\sqrt{2}i}{4}\approx -0-0.353553391i$$

$$r=\frac{\sqrt{2}i}{4}\approx 0.353553391i$$

Ngā Upane mā te Kimi Pūtakerua

Me tāpiri te 2 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$-16r^{2}=2$$

Whakawehea ngā taha e rua ki te -16.

$$r^{2}=\frac{2}{-16}$$

Whakahekea te hautanga \frac{2}{-16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$r^{2}=-\frac{1}{8}$$

Kua oti te whārite te whakatau.

$$r=\frac{\sqrt{2}i}{4} r=-\frac{\sqrt{2}i}{4}$$

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.

$$-16r^{2}-2=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi -16 mō a, 0 mō b, me -2 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$r=\frac{0±\sqrt{0^{2}-4\left(-16\right)\left(-2\right)}}{2\left(-16\right)}$$

Pūrua 0.

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

Whakareatia -4 ki te -16.

$$r=\frac{0±\sqrt{64\left(-2\right)}}{2\left(-16\right)}$$

Whakareatia 64 ki te -2.

$$r=\frac{0±\sqrt{-128}}{2\left(-16\right)}$$

Tuhia te pūtakerua o te -128.

$$r=\frac{0±8\sqrt{2}i}{2\left(-16\right)}$$

Whakareatia 2 ki te -16.

$$r=\frac{0±8\sqrt{2}i}{-32}$$

Nā, me whakaoti te whārite r=\frac{0±8\sqrt{2}i}{-32} ina he tāpiri te ±.

$$r=-\frac{\sqrt{2}i}{4}$$

Nā, me whakaoti te whārite r=\frac{0±8\sqrt{2}i}{-32} ina he tango te ±.

$$r=\frac{\sqrt{2}i}{4}$$

Kua oti te whārite te whakatau.

$$r=-\frac{\sqrt{2}i}{4} r=\frac{\sqrt{2}i}{4}$$