Whakaoti i te 7x^2+3=16

$$7 x ^ { 2 } + 3 = 16$$

Whakaoti mō x

$$x = \frac{\sqrt{91}}{7} \approx 1.362770288$$

$$x = -\frac{\sqrt{91}}{7} \approx -1.362770288$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 3 mai i ngā taha e rua.

$$7x^{2}=16-3$$

Tangohia te 3 i te 16, ka 13.

$$7x^{2}=13$$

Whakawehea ngā taha e rua ki te 7.

$$x^{2}=\frac{13}{7}$$

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

$$x=\frac{\sqrt{91}}{7} x=-\frac{\sqrt{91}}{7}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 16 mai i ngā taha e rua.

$$7x^{2}+3-16=0$$

Tangohia te 16 i te 3, ka -13.

$$7x^{2}-13=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 7 mō a, 0 mō b, me -13 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 7\left(-13\right)}}{2\times 7}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 7\left(-13\right)}}{2\times 7}$$

Whakareatia -4 ki te 7.

$$x=\frac{0±\sqrt{-28\left(-13\right)}}{2\times 7}$$

Whakareatia -28 ki te -13.

$$x=\frac{0±\sqrt{364}}{2\times 7}$$

Tuhia te pūtakerua o te 364.

$$x=\frac{0±2\sqrt{91}}{2\times 7}$$

Whakareatia 2 ki te 7.

$$x=\frac{0±2\sqrt{91}}{14}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{91}}{14} ina he tāpiri te ±.

$$x=\frac{\sqrt{91}}{7}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{91}}{14} ina he tango te ±.

$$x=-\frac{\sqrt{91}}{7}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{91}}{7} x=-\frac{\sqrt{91}}{7}$$