Whakaoti i te 575(1-x)^2=822

$$575 ( 1 - x ) ^ { 2 } = 822$$

Whakaoti mō x

$$x=-\frac{\sqrt{18906}}{115}+1\approx -0.195644269$$

$$x=\frac{\sqrt{18906}}{115}+1\approx 2.195644269$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 575.

$$\frac{575\left(-x+1\right)^{2}}{575}=\frac{822}{575}$$

Mā te whakawehe ki te 575 ka wetekia te whakareanga ki te 575.

$$\left(-x+1\right)^{2}=\frac{822}{575}$$

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

$$-x+1=\frac{\sqrt{18906}}{115} -x+1=-\frac{\sqrt{18906}}{115}$$

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

$$-x+1-1=\frac{\sqrt{18906}}{115}-1 -x+1-1=-\frac{\sqrt{18906}}{115}-1$$

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

$$-x=\frac{\sqrt{18906}}{115}-1 -x=-\frac{\sqrt{18906}}{115}-1$$

Tango 1 mai i \frac{\sqrt{18906}}{115}.

$$-x=\frac{\sqrt{18906}}{115}-1$$

Tango 1 mai i -\frac{\sqrt{18906}}{115}.

$$-x=-\frac{\sqrt{18906}}{115}-1$$

Whakawehea ngā taha e rua ki te -1.

$$\frac{-x}{-1}=\frac{\frac{\sqrt{18906}}{115}-1}{-1} \frac{-x}{-1}=\frac{-\frac{\sqrt{18906}}{115}-1}{-1}$$

Mā te whakawehe ki te -1 ka wetekia te whakareanga ki te -1.

$$x=\frac{\frac{\sqrt{18906}}{115}-1}{-1} x=\frac{-\frac{\sqrt{18906}}{115}-1}{-1}$$

Whakawehe \frac{\sqrt{18906}}{115}-1 ki te -1.

$$x=-\frac{\sqrt{18906}}{115}+1$$

Whakawehe -\frac{\sqrt{18906}}{115}-1 ki te -1.

$$x=\frac{\sqrt{18906}}{115}+1$$

Kua oti te whārite te whakatau.

$$x=-\frac{\sqrt{18906}}{115}+1 x=\frac{\sqrt{18906}}{115}+1$$