Solve 6000(1-y)^2=3600

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

Solve for y

$$y=-\frac{\sqrt{15}}{5}+1\approx 0.225403331$$

$$y=\frac{\sqrt{15}}{5}+1\approx 1.774596669$$

Steps by Finding Square Root

Divide both sides by 6000.

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

Dividing by 6000 undoes the multiplication by 6000.

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

Reduce the fraction \frac{3600}{6000} to lowest terms by extracting and canceling out 1200.

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

Take the square root of both sides of the equation.

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

Subtract 1 from both sides of the equation.

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

Subtracting 1 from itself leaves 0.

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

Subtract 1 from \frac{\sqrt{15}}{5}.

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

Subtract 1 from -\frac{\sqrt{15}}{5}.

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

Divide both sides by -1.

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

Dividing by -1 undoes the multiplication by -1.

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

Divide \frac{\sqrt{15}}{5}-1 by -1.

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

Divide -\frac{\sqrt{15}}{5}-1 by -1.

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

The equation is now solved.

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