Solve 0.0000174=x^2/0.1

$$0.0000174 = \frac{ { x }^{ 2 } }{ 0.1 }$$

Solve for x

$$x=\frac{\sqrt{174}}{10000}\approx 0.001319091$$

$$x=-\frac{\sqrt{174}}{10000}\approx -0.001319091$$

Steps by Finding Square Root

Multiply both sides by 0.1.

$$0.0000174\times 0.1=x^{2}$$

Multiply 0.0000174 and 0.1 to get 0.00000174.

$$0.00000174=x^{2}$$

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

$$x^{2}=0.00000174$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{174}}{10000} x=-\frac{\sqrt{174}}{10000}$$

Steps Using the Quadratic Formula

Multiply both sides by 0.1.

$$0.0000174\times 0.1=x^{2}$$

Multiply 0.0000174 and 0.1 to get 0.00000174.

$$0.00000174=x^{2}$$

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

$$x^{2}=0.00000174$$

Subtract 0.00000174 from both sides.

$$x^{2}-0.00000174=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -0.00000174 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-0.00000174\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-0.00000174\right)}}{2}$$

Multiply -4 times -0.00000174.

$$x=\frac{0±\sqrt{0.00000696}}{2}$$

Take the square root of 0.00000696.

$$x=\frac{0±\frac{\sqrt{174}}{5000}}{2}$$

Now solve the equation x=\frac{0±\frac{\sqrt{174}}{5000}}{2} when ± is plus.

$$x=\frac{\sqrt{174}}{10000}$$

Now solve the equation x=\frac{0±\frac{\sqrt{174}}{5000}}{2} when ± is minus.

$$x=-\frac{\sqrt{174}}{10000}$$

The equation is now solved.

$$x=\frac{\sqrt{174}}{10000} x=-\frac{\sqrt{174}}{10000}$$