Whakaoti i te 46.5=0.002x^2+0.01

$$46.5=0.002 { x }^{ 2 } +0.01$$

Whakaoti mō x

$$x=\sqrt{23245}\approx 152.463110292$$

$$x=-\sqrt{23245}\approx -152.463110292$$

Ngā Upane mā te Kimi Pūtakerua

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$0.002x^{2}+0.01=46.5$$

Tangohia te 0.01 mai i ngā taha e rua.

$$0.002x^{2}=46.5-0.01$$

Tangohia te 0.01 i te 46.5, ka 46.49.

$$0.002x^{2}=46.49$$

Whakawehea ngā taha e rua ki te 0.002.

$$x^{2}=\frac{46.49}{0.002}$$

Whakarohaina te \frac{46.49}{0.002} mā te whakarea i te taurunga me te tauraro ki te 1000.

$$x^{2}=\frac{46490}{2}$$

Whakawehea te 46490 ki te 2, kia riro ko 23245.

$$x^{2}=23245$$

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

$$x=\sqrt{23245} x=-\sqrt{23245}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$0.002x^{2}+0.01=46.5$$

Tangohia te 46.5 mai i ngā taha e rua.

$$0.002x^{2}+0.01-46.5=0$$

Tangohia te 46.5 i te 0.01, ka -46.49.

$$0.002x^{2}-46.49=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 0.002 mō a, 0 mō b, me -46.49 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 0.002\left(-46.49\right)}}{2\times 0.002}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 0.002\left(-46.49\right)}}{2\times 0.002}$$

Whakareatia -4 ki te 0.002.

$$x=\frac{0±\sqrt{-0.008\left(-46.49\right)}}{2\times 0.002}$$

Whakareatia -0.008 ki te -46.49 mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro, ka whakaiti i te hautanga ki ngā kīanga tau iti rawa e taea ana.

$$x=\frac{0±\sqrt{0.37192}}{2\times 0.002}$$

Tuhia te pūtakerua o te 0.37192.

$$x=\frac{0±\frac{\sqrt{23245}}{250}}{2\times 0.002}$$

Whakareatia 2 ki te 0.002.

$$x=\frac{0±\frac{\sqrt{23245}}{250}}{0.004}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{\sqrt{23245}}{250}}{0.004} ina he tāpiri te ±.

$$x=\sqrt{23245}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{\sqrt{23245}}{250}}{0.004} ina he tango te ±.

$$x=-\sqrt{23245}$$

Kua oti te whārite te whakatau.

$$x=\sqrt{23245} x=-\sqrt{23245}$$