Whakaoti i te 20.55*(1+x)^2=23.82

$$20.55 \times ( 1 + x ) ^ { 2 } = 23.82$$

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 o te whārite ki te 20.55, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{20.55\left(x+1\right)^{2}}{20.55}=\frac{23.82}{20.55}$$

Mā te whakawehe ki te 20.55 ka wetekia te whakareanga ki te 20.55.

$$\left(x+1\right)^{2}=\frac{23.82}{20.55}$$

Whakawehe 23.82 ki te 20.55 mā te whakarea 23.82 ki te tau huripoki o 20.55.

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

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.

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