Whakaoti i te 10x^2+2=9

$$10 x ^ { 2 } + 2 = 9$$

Whakaoti mō x

$$x=\frac{\sqrt{70}}{10}\approx 0.836660027$$

$$x=-\frac{\sqrt{70}}{10}\approx -0.836660027$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 2 mai i ngā taha e rua.

$$10x^{2}=9-2$$

Tangohia te 2 i te 9, ka 7.

$$10x^{2}=7$$

Whakawehea ngā taha e rua ki te 10.

$$x^{2}=\frac{7}{10}$$

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

$$x=\frac{\sqrt{70}}{10} x=-\frac{\sqrt{70}}{10}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 9 mai i ngā taha e rua.

$$10x^{2}+2-9=0$$

Tangohia te 9 i te 2, ka -7.

$$10x^{2}-7=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 10 mō a, 0 mō b, me -7 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 10\left(-7\right)}}{2\times 10}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 10\left(-7\right)}}{2\times 10}$$

Whakareatia -4 ki te 10.

$$x=\frac{0±\sqrt{-40\left(-7\right)}}{2\times 10}$$

Whakareatia -40 ki te -7.

$$x=\frac{0±\sqrt{280}}{2\times 10}$$

Tuhia te pūtakerua o te 280.

$$x=\frac{0±2\sqrt{70}}{2\times 10}$$

Whakareatia 2 ki te 10.

$$x=\frac{0±2\sqrt{70}}{20}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{70}}{20} ina he tāpiri te ±.

$$x=\frac{\sqrt{70}}{10}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{70}}{20} ina he tango te ±.

$$x=-\frac{\sqrt{70}}{10}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{70}}{10} x=-\frac{\sqrt{70}}{10}$$