6000(1-y)^2=3600 eching

$$6000 ( 1 - y ) ^ { 2 } = 3600$$

y uchun yechish

$$y=-\frac{\sqrt{15}}{5}+1\approx 0,225403331$$

$$y=\frac{\sqrt{15}}{5}+1\approx 1,774596669$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 6000 ga bo‘ling.

$$\frac{6000\left(-y+1\right)^{2}}{6000}=\frac{3600}{6000}$$

6000 ga bo'lish 6000 ga ko'paytirishni bekor qiladi.

$$\left(-y+1\right)^{2}=\frac{3600}{6000}$$

\frac{3600}{6000} ulushini 1200 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(-y+1\right)^{2}=\frac{3}{5}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$-y+1=\frac{\sqrt{15}}{5} -y+1=-\frac{\sqrt{15}}{5}$$

Tenglamaning ikkala tarafidan 1 ni ayirish.

$$-y+1-1=\frac{\sqrt{15}}{5}-1 -y+1-1=-\frac{\sqrt{15}}{5}-1$$

O‘zidan 1 ayirilsa 0 qoladi.

$$-y=\frac{\sqrt{15}}{5}-1 -y=-\frac{\sqrt{15}}{5}-1$$

\frac{\sqrt{15}}{5} dan 1 ni ayirish.

$$-y=\frac{\sqrt{15}}{5}-1$$

-\frac{\sqrt{15}}{5} dan 1 ni ayirish.

$$-y=-\frac{\sqrt{15}}{5}-1$$

Ikki tarafini -1 ga bo‘ling.

$$\frac{-y}{-1}=\frac{\frac{\sqrt{15}}{5}-1}{-1} \frac{-y}{-1}=\frac{-\frac{\sqrt{15}}{5}-1}{-1}$$

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

$$y=\frac{\frac{\sqrt{15}}{5}-1}{-1} y=\frac{-\frac{\sqrt{15}}{5}-1}{-1}$$

\frac{\sqrt{15}}{5}-1 ni -1 ga bo'lish.

$$y=-\frac{\sqrt{15}}{5}+1$$

-\frac{\sqrt{15}}{5}-1 ni -1 ga bo'lish.

$$y=\frac{\sqrt{15}}{5}+1$$

Tenglama yechildi.

$$y=-\frac{\sqrt{15}}{5}+1 y=\frac{\sqrt{15}}{5}+1$$