Whakaoti i te x^2+0.36x^2=225

$$x ^ { 2 } + 0.36 x ^ { 2 } = 225$$

Whakaoti mō x

$$x = \frac{75 \sqrt{34}}{34} \approx 12.862393886$$

$$x = -\frac{75 \sqrt{34}}{34} \approx -12.862393886$$

Ngā Upane mā te Kimi Pūtakerua

Pahekotia te x^{2} me 0.36x^{2}, ka 1.36x^{2}.

$$1.36x^{2}=225$$

Whakawehea ngā taha e rua ki te 1.36.

$$x^{2}=\frac{225}{1.36}$$

Whakarohaina te \frac{225}{1.36} mā te whakarea i te taurunga me te tauraro ki te 100.

$$x^{2}=\frac{22500}{136}$$

Whakahekea te hautanga \frac{22500}{136} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$x^{2}=\frac{5625}{34}$$

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

$$x=\frac{75\sqrt{34}}{34} x=-\frac{75\sqrt{34}}{34}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Pahekotia te x^{2} me 0.36x^{2}, ka 1.36x^{2}.

$$1.36x^{2}=225$$

Tangohia te 225 mai i ngā taha e rua.

$$1.36x^{2}-225=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1.36 mō a, 0 mō b, me -225 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 1.36\left(-225\right)}}{2\times 1.36}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 1.36\left(-225\right)}}{2\times 1.36}$$

Whakareatia -4 ki te 1.36.

$$x=\frac{0±\sqrt{-5.44\left(-225\right)}}{2\times 1.36}$$

Whakareatia -5.44 ki te -225.

$$x=\frac{0±\sqrt{1224}}{2\times 1.36}$$

Tuhia te pūtakerua o te 1224.

$$x=\frac{0±6\sqrt{34}}{2\times 1.36}$$

Whakareatia 2 ki te 1.36.

$$x=\frac{0±6\sqrt{34}}{2.72}$$

Nā, me whakaoti te whārite x=\frac{0±6\sqrt{34}}{2.72} ina he tāpiri te ±.

$$x=\frac{75\sqrt{34}}{34}$$

Nā, me whakaoti te whārite x=\frac{0±6\sqrt{34}}{2.72} ina he tango te ±.

$$x=-\frac{75\sqrt{34}}{34}$$

Kua oti te whārite te whakatau.

$$x=\frac{75\sqrt{34}}{34} x=-\frac{75\sqrt{34}}{34}$$