Solve 0.05*9.81=x^2/1000

$$0.05 \times 9.81 = \frac{ { x }^{ 2 } }{ 1000 }$$

Solve for x

$$x = \frac{3 \sqrt{218}}{2} \approx 22.14723459$$

$$x = -\frac{3 \sqrt{218}}{2} \approx -22.14723459$$

Steps by Finding Square Root

Multiply both sides of the equation by 1000.

$$50\times 9.81=x^{2}$$

Multiply 50 and 9.81 to get 490.5.

$$490.5=x^{2}$$

Swap sides so that all variable terms are on the left hand side.

$$x^{2}=490.5$$

Take the square root of both sides of the equation.

$$x=\frac{3\sqrt{218}}{2} x=-\frac{3\sqrt{218}}{2}$$

Steps Using the Quadratic Formula

Multiply both sides of the equation by 1000.

$$50\times 9.81=x^{2}$$

Multiply 50 and 9.81 to get 490.5.

$$490.5=x^{2}$$

Swap sides so that all variable terms are on the left hand side.

$$x^{2}=490.5$$

Subtract 490.5 from both sides.

$$x^{2}-490.5=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -490.5 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-490.5\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-490.5\right)}}{2}$$

Multiply -4 times -490.5.

$$x=\frac{0±\sqrt{1962}}{2}$$

Take the square root of 1962.

$$x=\frac{0±3\sqrt{218}}{2}$$

Now solve the equation x=\frac{0±3\sqrt{218}}{2} when ± is plus.

$$x=\frac{3\sqrt{218}}{2}$$

Now solve the equation x=\frac{0±3\sqrt{218}}{2} when ± is minus.

$$x=-\frac{3\sqrt{218}}{2}$$

The equation is now solved.

$$x=\frac{3\sqrt{218}}{2} x=-\frac{3\sqrt{218}}{2}$$