Whakaoti i te 2*14x^2+121x^2=9

$$2 \times 14 { x }^{ 2 } +121 { x }^{ 2 } =9$$

Whakaoti mō x

$$x=\frac{3\sqrt{149}}{149}\approx 0.245769576$$

$$x=-\frac{3\sqrt{149}}{149}\approx -0.245769576$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te 2 ki te 14, ka 28.

$$28x^{2}+121x^{2}=9$$

Pahekotia te 28x^{2} me 121x^{2}, ka 149x^{2}.

$$149x^{2}=9$$

Whakawehea ngā taha e rua ki te 149.

$$x^{2}=\frac{9}{149}$$

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

$$x=\frac{3\sqrt{149}}{149} x=-\frac{3\sqrt{149}}{149}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te 2 ki te 14, ka 28.

$$28x^{2}+121x^{2}=9$$

Pahekotia te 28x^{2} me 121x^{2}, ka 149x^{2}.

$$149x^{2}=9$$

Tangohia te 9 mai i ngā taha e rua.

$$149x^{2}-9=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 149 mō a, 0 mō b, me -9 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 149\left(-9\right)}}{2\times 149}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 149\left(-9\right)}}{2\times 149}$$

Whakareatia -4 ki te 149.

$$x=\frac{0±\sqrt{-596\left(-9\right)}}{2\times 149}$$

Whakareatia -596 ki te -9.

$$x=\frac{0±\sqrt{5364}}{2\times 149}$$

Tuhia te pūtakerua o te 5364.

$$x=\frac{0±6\sqrt{149}}{2\times 149}$$

Whakareatia 2 ki te 149.

$$x=\frac{0±6\sqrt{149}}{298}$$

Nā, me whakaoti te whārite x=\frac{0±6\sqrt{149}}{298} ina he tāpiri te ±.

$$x=\frac{3\sqrt{149}}{149}$$

Nā, me whakaoti te whārite x=\frac{0±6\sqrt{149}}{298} ina he tango te ±.

$$x=-\frac{3\sqrt{149}}{149}$$

Kua oti te whārite te whakatau.

$$x=\frac{3\sqrt{149}}{149} x=-\frac{3\sqrt{149}}{149}$$