Whakaoti i te 5a^2-7=4

$$5 a ^ { 2 } - 7 = 4$$

Whakaoti mō a

$$a = \frac{\sqrt{55}}{5} \approx 1.483239697$$

$$a = -\frac{\sqrt{55}}{5} \approx -1.483239697$$

Ngā Upane mā te Kimi Pūtakerua

Me tāpiri te 7 ki ngā taha e rua.

$$5a^{2}=4+7$$

Tāpirihia te 4 ki te 7, ka 11.

$$5a^{2}=11$$

Whakawehea ngā taha e rua ki te 5.

$$a^{2}=\frac{11}{5}$$

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

$$a=\frac{\sqrt{55}}{5} a=-\frac{\sqrt{55}}{5}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 4 mai i ngā taha e rua.

$$5a^{2}-7-4=0$$

Tangohia te 4 i te -7, ka -11.

$$5a^{2}-11=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 5 mō a, 0 mō b, me -11 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$a=\frac{0±\sqrt{0^{2}-4\times 5\left(-11\right)}}{2\times 5}$$

Pūrua 0.

$$a=\frac{0±\sqrt{-4\times 5\left(-11\right)}}{2\times 5}$$

Whakareatia -4 ki te 5.

$$a=\frac{0±\sqrt{-20\left(-11\right)}}{2\times 5}$$

Whakareatia -20 ki te -11.

$$a=\frac{0±\sqrt{220}}{2\times 5}$$

Tuhia te pūtakerua o te 220.

$$a=\frac{0±2\sqrt{55}}{2\times 5}$$

Whakareatia 2 ki te 5.

$$a=\frac{0±2\sqrt{55}}{10}$$

Nā, me whakaoti te whārite a=\frac{0±2\sqrt{55}}{10} ina he tāpiri te ±.

$$a=\frac{\sqrt{55}}{5}$$

Nā, me whakaoti te whārite a=\frac{0±2\sqrt{55}}{10} ina he tango te ±.

$$a=-\frac{\sqrt{55}}{5}$$

Kua oti te whārite te whakatau.

$$a=\frac{\sqrt{55}}{5} a=-\frac{\sqrt{55}}{5}$$