Whakaoti i te 15x*x=300

$$15 x \times x = 300$$

Whakaoti mō x

$$x=2\sqrt{5}\approx 4.472135955$$

$$x=-2\sqrt{5}\approx -4.472135955$$

Ngā Upane mā te Kimi Pūtakerua

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

$$15x^{2}=300$$

Whakawehea ngā taha e rua ki te 15.

$$x^{2}=\frac{300}{15}$$

Whakawehea te 300 ki te 15, kia riro ko 20.

$$x^{2}=20$$

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

$$x=2\sqrt{5} x=-2\sqrt{5}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$15x^{2}=300$$

Tangohia te 300 mai i ngā taha e rua.

$$15x^{2}-300=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 15 mō a, 0 mō b, me -300 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 15\left(-300\right)}}{2\times 15}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 15\left(-300\right)}}{2\times 15}$$

Whakareatia -4 ki te 15.

$$x=\frac{0±\sqrt{-60\left(-300\right)}}{2\times 15}$$

Whakareatia -60 ki te -300.

$$x=\frac{0±\sqrt{18000}}{2\times 15}$$

Tuhia te pūtakerua o te 18000.

$$x=\frac{0±60\sqrt{5}}{2\times 15}$$

Whakareatia 2 ki te 15.

$$x=\frac{0±60\sqrt{5}}{30}$$

Nā, me whakaoti te whārite x=\frac{0±60\sqrt{5}}{30} ina he tāpiri te ±.

$$x=2\sqrt{5}$$

Nā, me whakaoti te whārite x=\frac{0±60\sqrt{5}}{30} ina he tango te ±.

$$x=-2\sqrt{5}$$

Kua oti te whārite te whakatau.

$$x=2\sqrt{5} x=-2\sqrt{5}$$