Whakaoti i te 7x^2=5

$$7 x ^ { 2 } = 5$$

Whakaoti mō x

$$x=\frac{\sqrt{35}}{7}\approx 0.845154255$$

$$x=-\frac{\sqrt{35}}{7}\approx -0.845154255$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 7.

$$x^{2}=\frac{5}{7}$$

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

$$x=\frac{\sqrt{35}}{7} x=-\frac{\sqrt{35}}{7}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawehea ngā taha e rua ki te 7.

$$x^{2}=\frac{5}{7}$$

Tangohia te \frac{5}{7} mai i ngā taha e rua.

$$x^{2}-\frac{5}{7}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -\frac{5}{7} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{5}{7}\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{5}{7}\right)}}{2}$$

Whakareatia -4 ki te -\frac{5}{7}.

$$x=\frac{0±\sqrt{\frac{20}{7}}}{2}$$

Tuhia te pūtakerua o te \frac{20}{7}.

$$x=\frac{0±\frac{2\sqrt{35}}{7}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{2\sqrt{35}}{7}}{2} ina he tāpiri te ±.

$$x=\frac{\sqrt{35}}{7}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{2\sqrt{35}}{7}}{2} ina he tango te ±.

$$x=-\frac{\sqrt{35}}{7}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{35}}{7} x=-\frac{\sqrt{35}}{7}$$