Whakaoti i te k^2=0.49

$$k ^ { 2 } = 0.49$$

Whakaoti mō k

$$k=0.7$$

$$k=-0.7$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Tangohia te 0.49 mai i ngā taha e rua.

$$k^{2}-0.49=0$$

Whakaarohia te k^{2}-0.49. Tuhia anō te k^{2}-0.49 hei k^{2}-\left(\frac{7}{10}\right)^{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).

$$\left(k-\frac{7}{10}\right)\left(k+\frac{7}{10}\right)=0$$

Hei kimi otinga whārite, me whakaoti te k-\frac{7}{10}=0 me te k+\frac{7}{10}=0.

$$k=\frac{7}{10} k=-\frac{7}{10}$$

Ngā Upane mā te Kimi Pūtakerua

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

$$k=\frac{7}{10} k=-\frac{7}{10}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 0.49 mai i ngā taha e rua.

$$k^{2}-0.49=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -0.49 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$k=\frac{0±\sqrt{0^{2}-4\left(-0.49\right)}}{2}$$

Pūrua 0.

$$k=\frac{0±\sqrt{-4\left(-0.49\right)}}{2}$$

Whakareatia -4 ki te -0.49.

$$k=\frac{0±\sqrt{1.96}}{2}$$

Tuhia te pūtakerua o te 1.96.

$$k=\frac{0±\frac{7}{5}}{2}$$

Nā, me whakaoti te whārite k=\frac{0±\frac{7}{5}}{2} ina he tāpiri te ±.

$$k=\frac{7}{10}$$

Nā, me whakaoti te whārite k=\frac{0±\frac{7}{5}}{2} ina he tango te ±.

$$k=-\frac{7}{10}$$

Kua oti te whārite te whakatau.

$$k=\frac{7}{10} k=-\frac{7}{10}$$