Whakaoti i te 60(1-t)^2=486

$$60 ( 1 - t ) ^ { 2 } = 486$$

Whakaoti mō t

$$t=-\frac{9\sqrt{10}}{10}+1\approx -1.846049894$$

$$t=\frac{9\sqrt{10}}{10}+1\approx 3.846049894$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 60.

$$\frac{60\left(-t+1\right)^{2}}{60}=\frac{486}{60}$$

Mā te whakawehe ki te 60 ka wetekia te whakareanga ki te 60.

$$\left(-t+1\right)^{2}=\frac{486}{60}$$

Whakahekea te hautanga \frac{486}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\left(-t+1\right)^{2}=\frac{81}{10}$$

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

$$-t+1=\frac{9\sqrt{10}}{10} -t+1=-\frac{9\sqrt{10}}{10}$$

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

$$-t+1-1=\frac{9\sqrt{10}}{10}-1 -t+1-1=-\frac{9\sqrt{10}}{10}-1$$

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

$$-t=\frac{9\sqrt{10}}{10}-1 -t=-\frac{9\sqrt{10}}{10}-1$$

Tango 1 mai i \frac{9\sqrt{10}}{10}.

$$-t=\frac{9\sqrt{10}}{10}-1$$

Tango 1 mai i -\frac{9\sqrt{10}}{10}.

$$-t=-\frac{9\sqrt{10}}{10}-1$$

Whakawehea ngā taha e rua ki te -1.

$$\frac{-t}{-1}=\frac{\frac{9\sqrt{10}}{10}-1}{-1} \frac{-t}{-1}=\frac{-\frac{9\sqrt{10}}{10}-1}{-1}$$

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

$$t=\frac{\frac{9\sqrt{10}}{10}-1}{-1} t=\frac{-\frac{9\sqrt{10}}{10}-1}{-1}$$

Whakawehe \frac{9\sqrt{10}}{10}-1 ki te -1.

$$t=-\frac{9\sqrt{10}}{10}+1$$

Whakawehe -\frac{9\sqrt{10}}{10}-1 ki te -1.

$$t=\frac{9\sqrt{10}}{10}+1$$

Kua oti te whārite te whakatau.

$$t=-\frac{9\sqrt{10}}{10}+1 t=\frac{9\sqrt{10}}{10}+1$$