Solve (x+2.5)^2=6

$$( x + 2.5 ) ^ { 2 } = 6$$

Solve for x (complex solution)

$$x=-\left(\sqrt{6}+2.5\right)\approx -4.949489743$$

$$x=\sqrt{6}-2.5\approx -0.050510257$$

Steps by Finding Square Root

Subtract 2.5 from both sides of the equation.

$$x+2.5-2.5=\sqrt{6}-2.5 x+2.5-2.5=-\sqrt{6}-2.5$$

Subtracting 2.5 from itself leaves 0.

$$x=\sqrt{6}-2.5 x=-\sqrt{6}-2.5$$

Subtract 2.5 from \sqrt{6}.

$$x=\sqrt{6}-2.5$$

Subtract 2.5 from -\sqrt{6}.

$$x=-\sqrt{6}-\frac{5}{2}$$

The equation is now solved.

$$x=\sqrt{6}-2.5 x=-\sqrt{6}-\frac{5}{2}$$

Solve for x

$$x=\sqrt{6}-2.5\approx -0.050510257$$

$$x=-\sqrt{6}-2.5\approx -4.949489743$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x+2.5=\sqrt{6} x+2.5=-\sqrt{6}$$

Subtract 2.5 from both sides of the equation.

$$x+2.5-2.5=\sqrt{6}-2.5 x+2.5-2.5=-\sqrt{6}-2.5$$

Subtracting 2.5 from itself leaves 0.

$$x=\sqrt{6}-2.5 x=-\sqrt{6}-2.5$$

Subtract 2.5 from \sqrt{6}.

$$x=\sqrt{6}-\frac{5}{2}$$

Subtract 2.5 from -\sqrt{6}.

$$x=-\sqrt{6}-\frac{5}{2}$$

The equation is now solved.

$$x=\sqrt{6}-\frac{5}{2} x=-\sqrt{6}-\frac{5}{2}$$