Whakaoti i te 5k^2-5=0

$$5 k ^ { 2 } - 5 = 0$$

Whakaoti mō k

$$k=1$$

$$k=-1$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Whakawehea ngā taha e rua ki te 5.

$$k^{2}-1=0$$

Whakaarohia te k^{2}-1. Tuhia anō te k^{2}-1 hei k^{2}-1^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(k-1\right)\left(k+1\right)=0$$

Hei kimi otinga whārite, me whakaoti te k-1=0 me te k+1=0.

$$k=1 k=-1$$

Ngā Upane mā te Kimi Pūtakerua

Me tāpiri te 5 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$5k^{2}=5$$

Whakawehea ngā taha e rua ki te 5.

$$k^{2}=\frac{5}{5}$$

Whakawehea te 5 ki te 5, kia riro ko 1.

$$k^{2}=1$$

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

$$k=1 k=-1$$

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.

$$5k^{2}-5=0$$

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

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

Pūrua 0.

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

Whakareatia -4 ki te 5.

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

Whakareatia -20 ki te -5.

$$k=\frac{0±\sqrt{100}}{2\times 5}$$

Tuhia te pūtakerua o te 100.

$$k=\frac{0±10}{2\times 5}$$

Whakareatia 2 ki te 5.

$$k=\frac{0±10}{10}$$

Nā, me whakaoti te whārite k=\frac{0±10}{10} ina he tāpiri te ±. Whakawehe 10 ki te 10.

$$k=1$$

Nā, me whakaoti te whārite k=\frac{0±10}{10} ina he tango te ±. Whakawehe -10 ki te 10.

$$k=-1$$

Kua oti te whārite te whakatau.

$$k=1 k=-1$$