Whakaoti i te 2055*(1+x)^2=2382

$$2055 \times ( 1 + x ) ^ { 2 } = 2382$$

Whakaoti mō x

$$x=\frac{\sqrt{543890}}{685}-1\approx 0.076626253$$

$$x=-\frac{\sqrt{543890}}{685}-1\approx -2.076626253$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 2055.

$$\frac{2055\left(x+1\right)^{2}}{2055}=\frac{2382}{2055}$$

Mā te whakawehe ki te 2055 ka wetekia te whakareanga ki te 2055.

$$\left(x+1\right)^{2}=\frac{2382}{2055}$$

Whakahekea te hautanga \frac{2382}{2055} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\left(x+1\right)^{2}=\frac{794}{685}$$

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

$$x+1=\frac{\sqrt{543890}}{685} x+1=-\frac{\sqrt{543890}}{685}$$

Me tango 1 mai i ngā taha e rua o te whārite.

$$x+1-1=\frac{\sqrt{543890}}{685}-1 x+1-1=-\frac{\sqrt{543890}}{685}-1$$

Mā te tango i te 1 i a ia ake anō ka toe ko te 0.

$$x=\frac{\sqrt{543890}}{685}-1 x=-\frac{\sqrt{543890}}{685}-1$$