Whakaoti i te 7x*4x=14=

$$7x \times 4x=14=$$

Whakaoti mō x

$$x=\frac{\sqrt{2}}{2}\approx 0.707106781$$

$$x=-\frac{\sqrt{2}}{2}\approx -0.707106781$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te x ki te x, ka x^{2}.

$$7x^{2}\times 4=14$$

Whakareatia te 7 ki te 4, ka 28.

$$28x^{2}=14$$

Whakawehea ngā taha e rua ki te 28.

$$x^{2}=\frac{14}{28}$$

Whakahekea te hautanga \frac{14}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 14.

$$x^{2}=\frac{1}{2}$$

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

$$x=\frac{\sqrt{2}}{2} x=-\frac{\sqrt{2}}{2}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te x ki te x, ka x^{2}.

$$7x^{2}\times 4=14$$

Whakareatia te 7 ki te 4, ka 28.

$$28x^{2}=14$$

Tangohia te 14 mai i ngā taha e rua.

$$28x^{2}-14=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 28 mō a, 0 mō b, me -14 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 28\left(-14\right)}}{2\times 28}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 28\left(-14\right)}}{2\times 28}$$

Whakareatia -4 ki te 28.

$$x=\frac{0±\sqrt{-112\left(-14\right)}}{2\times 28}$$

Whakareatia -112 ki te -14.

$$x=\frac{0±\sqrt{1568}}{2\times 28}$$

Tuhia te pūtakerua o te 1568.

$$x=\frac{0±28\sqrt{2}}{2\times 28}$$

Whakareatia 2 ki te 28.

$$x=\frac{0±28\sqrt{2}}{56}$$

Nā, me whakaoti te whārite x=\frac{0±28\sqrt{2}}{56} ina he tāpiri te ±.

$$x=\frac{\sqrt{2}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±28\sqrt{2}}{56} ina he tango te ±.

$$x=-\frac{\sqrt{2}}{2}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{2}}{2} x=-\frac{\sqrt{2}}{2}$$