Solve 2055*(1+x)^2=2382

$$2055 \times ( 1 + x ) ^ { 2 } = 2382$$

Solve for x

$$x=\frac{\sqrt{543890}}{685}-1\approx 0.076626253$$

$$x=-\frac{\sqrt{543890}}{685}-1\approx -2.076626253$$

Steps by Finding Square Root

Divide both sides by 2055.

$$\frac{2055\left(x+1\right)^{2}}{2055}=\frac{2382}{2055}$$

Dividing by 2055 undoes the multiplication by 2055.

$$\left(x+1\right)^{2}=\frac{2382}{2055}$$

Reduce the fraction \frac{2382}{2055} to lowest terms by extracting and canceling out 3.

$$\left(x+1\right)^{2}=\frac{794}{685}$$

Take the square root of both sides of the equation.

$$x+1=\frac{\sqrt{543890}}{685} x+1=-\frac{\sqrt{543890}}{685}$$

Subtract 1 from both sides of the equation.

$$x+1-1=\frac{\sqrt{543890}}{685}-1 x+1-1=-\frac{\sqrt{543890}}{685}-1$$

Subtracting 1 from itself leaves 0.

$$x=\frac{\sqrt{543890}}{685}-1 x=-\frac{\sqrt{543890}}{685}-1$$