Whakaoti i te 1.5x*x=7560

$$1.5x \times x=7560$$

Whakaoti mō x

$$x=12\sqrt{35}\approx 70.992957397$$

$$x=-12\sqrt{35}\approx -70.992957397$$

Ngā Upane mā te Kimi Pūtakerua

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

$$1.5x^{2}=7560$$

Whakawehea ngā taha e rua ki te 1.5.

$$x^{2}=\frac{7560}{1.5}$$

Whakarohaina te \frac{7560}{1.5} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x^{2}=\frac{75600}{15}$$

Whakawehea te 75600 ki te 15, kia riro ko 5040.

$$x^{2}=5040$$

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

$$x=12\sqrt{35} x=-12\sqrt{35}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$1.5x^{2}=7560$$

Tangohia te 7560 mai i ngā taha e rua.

$$1.5x^{2}-7560=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1.5 mō a, 0 mō b, me -7560 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 1.5\left(-7560\right)}}{2\times 1.5}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 1.5\left(-7560\right)}}{2\times 1.5}$$

Whakareatia -4 ki te 1.5.

$$x=\frac{0±\sqrt{-6\left(-7560\right)}}{2\times 1.5}$$

Whakareatia -6 ki te -7560.

$$x=\frac{0±\sqrt{45360}}{2\times 1.5}$$

Tuhia te pūtakerua o te 45360.

$$x=\frac{0±36\sqrt{35}}{2\times 1.5}$$

Whakareatia 2 ki te 1.5.

$$x=\frac{0±36\sqrt{35}}{3}$$

Nā, me whakaoti te whārite x=\frac{0±36\sqrt{35}}{3} ina he tāpiri te ±.

$$x=12\sqrt{35}$$

Nā, me whakaoti te whārite x=\frac{0±36\sqrt{35}}{3} ina he tango te ±.

$$x=-12\sqrt{35}$$

Kua oti te whārite te whakatau.

$$x=12\sqrt{35} x=-12\sqrt{35}$$