Whakaoti i te 28x^2=3.105^2

$$28 x ^ { 2 } = 3.105 ^ { 2 }$$

Whakaoti mō x

$$x=\frac{621\sqrt{7}}{2800}\approx 0.586789844$$

$$x=-\frac{621\sqrt{7}}{2800}\approx -0.586789844$$

Ngā Upane mā te Kimi Pūtakerua

Tātaihia te 3.105 mā te pū o 2, kia riro ko 9.641025.

$$28x^{2}=9.641025$$

Whakawehea ngā taha e rua ki te 28.

$$x^{2}=\frac{9.641025}{28}$$

Whakarohaina te \frac{9.641025}{28} mā te whakarea i te taurunga me te tauraro ki te 1000000.

$$x^{2}=\frac{9641025}{28000000}$$

Whakahekea te hautanga \frac{9641025}{28000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$x^{2}=\frac{385641}{1120000}$$

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

$$x=\frac{621\sqrt{7}}{2800} x=-\frac{621\sqrt{7}}{2800}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tātaihia te 3.105 mā te pū o 2, kia riro ko 9.641025.

$$28x^{2}=9.641025$$

Tangohia te 9.641025 mai i ngā taha e rua.

$$28x^{2}-9.641025=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 28 mō a, 0 mō b, me -9.641025 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 28\left(-9.641025\right)}}{2\times 28}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 28\left(-9.641025\right)}}{2\times 28}$$

Whakareatia -4 ki te 28.

$$x=\frac{0±\sqrt{-112\left(-9.641025\right)}}{2\times 28}$$

Whakareatia -112 ki te -9.641025.

$$x=\frac{0±\sqrt{1079.7948}}{2\times 28}$$

Tuhia te pūtakerua o te 1079.7948.

$$x=\frac{0±\frac{621\sqrt{7}}{50}}{2\times 28}$$

Whakareatia 2 ki te 28.

$$x=\frac{0±\frac{621\sqrt{7}}{50}}{56}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{621\sqrt{7}}{50}}{56} ina he tāpiri te ±.

$$x=\frac{621\sqrt{7}}{2800}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{621\sqrt{7}}{50}}{56} ina he tango te ±.

$$x=-\frac{621\sqrt{7}}{2800}$$

Kua oti te whārite te whakatau.

$$x=\frac{621\sqrt{7}}{2800} x=-\frac{621\sqrt{7}}{2800}$$