Solve (x+2.84)^2=9.03

$$( x + 2.84 ) ^ { 2 } = 9.03$$

Solve for x

$$x=\frac{\sqrt{903}}{10}-2.84\approx 0.16499584$$

$$x=-\frac{\sqrt{903}}{10}-2.84\approx -5.84499584$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x+2.84=\frac{\sqrt{903}}{10} x+2.84=-\frac{\sqrt{903}}{10}$$

Subtract 2.84 from both sides of the equation.

$$x+2.84-2.84=\frac{\sqrt{903}}{10}-2.84 x+2.84-2.84=-\frac{\sqrt{903}}{10}-2.84$$

Subtracting 2.84 from itself leaves 0.

$$x=\frac{\sqrt{903}}{10}-2.84 x=-\frac{\sqrt{903}}{10}-2.84$$

Subtract 2.84 from \frac{\sqrt{903}}{10}.

$$x=\frac{\sqrt{903}}{10}-\frac{71}{25}$$

Subtract 2.84 from -\frac{\sqrt{903}}{10}.

$$x=-\frac{\sqrt{903}}{10}-\frac{71}{25}$$

The equation is now solved.

$$x=\frac{\sqrt{903}}{10}-\frac{71}{25} x=-\frac{\sqrt{903}}{10}-\frac{71}{25}$$