Whakaoti i te 52.6x*3.25x=6.3

$$52.6 x \times 3.25 x = 6.3$$

Whakaoti mō x

$$x=\frac{3\sqrt{47866}}{3419}\approx 0.191971042$$

$$x=-\frac{3\sqrt{47866}}{3419}\approx -0.191971042$$

Ngā Upane mā te Kimi Pūtakerua

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

$$52.6x^{2}\times 3.25=6.3$$

Whakareatia te 52.6 ki te 3.25, ka 170.95.

$$170.95x^{2}=6.3$$

Whakawehea ngā taha e rua ki te 170.95.

$$x^{2}=\frac{6.3}{170.95}$$

Whakarohaina te \frac{6.3}{170.95} mā te whakarea i te taurunga me te tauraro ki te 100.

$$x^{2}=\frac{630}{17095}$$

Whakahekea te hautanga \frac{630}{17095} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x^{2}=\frac{126}{3419}$$

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

$$x=\frac{3\sqrt{47866}}{3419} x=-\frac{3\sqrt{47866}}{3419}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$52.6x^{2}\times 3.25=6.3$$

Whakareatia te 52.6 ki te 3.25, ka 170.95.

$$170.95x^{2}=6.3$$

Tangohia te 6.3 mai i ngā taha e rua.

$$170.95x^{2}-6.3=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 170.95 mō a, 0 mō b, me -6.3 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 170.95\left(-6.3\right)}}{2\times 170.95}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 170.95\left(-6.3\right)}}{2\times 170.95}$$

Whakareatia -4 ki te 170.95.

$$x=\frac{0±\sqrt{-683.8\left(-6.3\right)}}{2\times 170.95}$$

Whakareatia -683.8 ki te -6.3 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.

$$x=\frac{0±\sqrt{4307.94}}{2\times 170.95}$$

Tuhia te pūtakerua o te 4307.94.

$$x=\frac{0±\frac{3\sqrt{47866}}{10}}{2\times 170.95}$$

Whakareatia 2 ki te 170.95.

$$x=\frac{0±\frac{3\sqrt{47866}}{10}}{341.9}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{3\sqrt{47866}}{10}}{341.9} ina he tāpiri te ±.

$$x=\frac{3\sqrt{47866}}{3419}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{3\sqrt{47866}}{10}}{341.9} ina he tango te ±.

$$x=-\frac{3\sqrt{47866}}{3419}$$

Kua oti te whārite te whakatau.

$$x=\frac{3\sqrt{47866}}{3419} x=-\frac{3\sqrt{47866}}{3419}$$