Whakaoti i te 8+11=10x^2

$$8+11=10 { x }^{ 2 }$$

Whakaoti mō x

$$x = \frac{\sqrt{190}}{10} \approx 1.378404875$$

$$x = -\frac{\sqrt{190}}{10} \approx -1.378404875$$

Ngā Upane mā te Kimi Pūtakerua

Tāpirihia te 8 ki te 11, ka 19.

$$19=10x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$10x^{2}=19$$

Whakawehea ngā taha e rua ki te 10.

$$x^{2}=\frac{19}{10}$$

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

$$x=\frac{\sqrt{190}}{10} x=-\frac{\sqrt{190}}{10}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tāpirihia te 8 ki te 11, ka 19.

$$19=10x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$10x^{2}=19$$

Tangohia te 19 mai i ngā taha e rua.

$$10x^{2}-19=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 10 mō a, 0 mō b, me -19 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 10\left(-19\right)}}{2\times 10}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 10\left(-19\right)}}{2\times 10}$$

Whakareatia -4 ki te 10.

$$x=\frac{0±\sqrt{-40\left(-19\right)}}{2\times 10}$$

Whakareatia -40 ki te -19.

$$x=\frac{0±\sqrt{760}}{2\times 10}$$

Tuhia te pūtakerua o te 760.

$$x=\frac{0±2\sqrt{190}}{2\times 10}$$

Whakareatia 2 ki te 10.

$$x=\frac{0±2\sqrt{190}}{20}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{190}}{20} ina he tāpiri te ±.

$$x=\frac{\sqrt{190}}{10}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{190}}{20} ina he tango te ±.

$$x=-\frac{\sqrt{190}}{10}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{190}}{10} x=-\frac{\sqrt{190}}{10}$$