Whakaoti i te 1/2quada^2=1/29

$$\frac { 1 } { 2 } \quad a ^ { 2 } = \frac { 1 } { 29 }$$

Whakaoti mō a

$$a=\frac{\sqrt{58}}{29}\approx 0.262612866$$

$$a=-\frac{\sqrt{58}}{29}\approx -0.262612866$$

Ngā Upane mā te Kimi Pūtakerua

Me whakarea ngā taha e rua ki te 2, te tau utu o \frac{1}{2}.

$$a^{2}=\frac{1}{29}\times 2$$

Whakareatia te \frac{1}{29} ki te 2, ka \frac{2}{29}.

$$a^{2}=\frac{2}{29}$$

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

$$a=\frac{\sqrt{58}}{29} a=-\frac{\sqrt{58}}{29}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Me whakarea ngā taha e rua ki te 2, te tau utu o \frac{1}{2}.

$$a^{2}=\frac{1}{29}\times 2$$

Whakareatia te \frac{1}{29} ki te 2, ka \frac{2}{29}.

$$a^{2}=\frac{2}{29}$$

Tangohia te \frac{2}{29} mai i ngā taha e rua.

$$a^{2}-\frac{2}{29}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -\frac{2}{29} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$a=\frac{0±\sqrt{0^{2}-4\left(-\frac{2}{29}\right)}}{2}$$

Pūrua 0.

$$a=\frac{0±\sqrt{-4\left(-\frac{2}{29}\right)}}{2}$$

Whakareatia -4 ki te -\frac{2}{29}.

$$a=\frac{0±\sqrt{\frac{8}{29}}}{2}$$

Tuhia te pūtakerua o te \frac{8}{29}.

$$a=\frac{0±\frac{2\sqrt{58}}{29}}{2}$$

Nā, me whakaoti te whārite a=\frac{0±\frac{2\sqrt{58}}{29}}{2} ina he tāpiri te ±.

$$a=\frac{\sqrt{58}}{29}$$

Nā, me whakaoti te whārite a=\frac{0±\frac{2\sqrt{58}}{29}}{2} ina he tango te ±.

$$a=-\frac{\sqrt{58}}{29}$$

Kua oti te whārite te whakatau.

$$a=\frac{\sqrt{58}}{29} a=-\frac{\sqrt{58}}{29}$$