Whakaoti i te 4.9x^2=30

$$4.9 x ^ { 2 } = 30$$

Whakaoti mō x

$$x = \frac{10 \sqrt{3}}{7} \approx 2.474358297$$

$$x = -\frac{10 \sqrt{3}}{7} \approx -2.474358297$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 4.9.

$$x^{2}=\frac{30}{4.9}$$

Whakarohaina te \frac{30}{4.9} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x^{2}=\frac{300}{49}$$

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

$$x=\frac{10\sqrt{3}}{7} x=-\frac{10\sqrt{3}}{7}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawehea ngā taha e rua ki te 4.9.

$$x^{2}=\frac{30}{4.9}$$

Whakarohaina te \frac{30}{4.9} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x^{2}=\frac{300}{49}$$

Tangohia te \frac{300}{49} mai i ngā taha e rua.

$$x^{2}-\frac{300}{49}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -\frac{300}{49} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{300}{49}\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{300}{49}\right)}}{2}$$

Whakareatia -4 ki te -\frac{300}{49}.

$$x=\frac{0±\sqrt{\frac{1200}{49}}}{2}$$

Tuhia te pūtakerua o te \frac{1200}{49}.

$$x=\frac{0±\frac{20\sqrt{3}}{7}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{20\sqrt{3}}{7}}{2} ina he tāpiri te ±.

$$x=\frac{10\sqrt{3}}{7}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{20\sqrt{3}}{7}}{2} ina he tango te ±.

$$x=-\frac{10\sqrt{3}}{7}$$

Kua oti te whārite te whakatau.

$$x=\frac{10\sqrt{3}}{7} x=-\frac{10\sqrt{3}}{7}$$