60(1-t)^2=486 eching

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

t uchun yechish

$$t=-\frac{9\sqrt{10}}{10}+1\approx -1,846049894$$

$$t=\frac{9\sqrt{10}}{10}+1\approx 3,846049894$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 60 ga bo‘ling.

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

60 ga bo'lish 60 ga ko'paytirishni bekor qiladi.

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

\frac{486}{60} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

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

Tenglamaning ikkala tarafidan 1 ni ayirish.

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

O‘zidan 1 ayirilsa 0 qoladi.

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

\frac{9\sqrt{10}}{10} dan 1 ni ayirish.

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

-\frac{9\sqrt{10}}{10} dan 1 ni ayirish.

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

Ikki tarafini -1 ga bo‘ling.

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

-1 ga bo'lish -1 ga ko'paytirishni bekor qiladi.

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

\frac{9\sqrt{10}}{10}-1 ni -1 ga bo'lish.

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

-\frac{9\sqrt{10}}{10}-1 ni -1 ga bo'lish.

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

Tenglama yechildi.

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