Whakaoti i te 17k^2+22kk+1=0

$$17 k ^ { 2 } + 22 k k + 1 = 0$$

Whakaoti mō k

$$k=-\frac{\sqrt{39}i}{39}\approx -0-0.160128154i$$

$$k=\frac{\sqrt{39}i}{39}\approx 0.160128154i$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te k ki te k, ka k^{2}.

$$17k^{2}+22k^{2}+1=0$$

Pahekotia te 17k^{2} me 22k^{2}, ka 39k^{2}.

$$39k^{2}+1=0$$

Tangohia te 1 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$39k^{2}=-1$$

Whakawehea ngā taha e rua ki te 39.

$$k^{2}=-\frac{1}{39}$$

Kua oti te whārite te whakatau.

$$k=\frac{\sqrt{39}i}{39} k=-\frac{\sqrt{39}i}{39}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te k ki te k, ka k^{2}.

$$17k^{2}+22k^{2}+1=0$$

Pahekotia te 17k^{2} me 22k^{2}, ka 39k^{2}.

$$39k^{2}+1=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 39 mō a, 0 mō b, me 1 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$k=\frac{0±\sqrt{0^{2}-4\times 39}}{2\times 39}$$

Pūrua 0.

$$k=\frac{0±\sqrt{-4\times 39}}{2\times 39}$$

Whakareatia -4 ki te 39.

$$k=\frac{0±\sqrt{-156}}{2\times 39}$$

Tuhia te pūtakerua o te -156.

$$k=\frac{0±2\sqrt{39}i}{2\times 39}$$

Whakareatia 2 ki te 39.

$$k=\frac{0±2\sqrt{39}i}{78}$$

Nā, me whakaoti te whārite k=\frac{0±2\sqrt{39}i}{78} ina he tāpiri te ±.

$$k=\frac{\sqrt{39}i}{39}$$

Nā, me whakaoti te whārite k=\frac{0±2\sqrt{39}i}{78} ina he tango te ±.

$$k=-\frac{\sqrt{39}i}{39}$$

Kua oti te whārite te whakatau.

$$k=\frac{\sqrt{39}i}{39} k=-\frac{\sqrt{39}i}{39}$$