Solve 1/sqrt{1-(frac{31{32})^2}}=4/x

$$\frac { 1 } { \sqrt { 1 - ( \frac { 31 } { 32 } ) ^ { 2 } } } = \frac { 4 } { x }$$

Solve for x

$$x=\frac{3\sqrt{7}}{8}\approx 0.992156742$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$\frac{32}{21}x\times 7^{\frac{1}{2}}=4$$

Reorder the terms.

$$\frac{32}{21}\sqrt{7}x=4$$

The equation is in standard form.

$$\frac{32\sqrt{7}}{21}x=4$$

Divide both sides by \frac{32}{21}\sqrt{7}.

$$\frac{21\times \frac{32\sqrt{7}}{21}x}{32\sqrt{7}}=\frac{4\times 21}{32\sqrt{7}}$$

Dividing by \frac{32}{21}\sqrt{7} undoes the multiplication by \frac{32}{21}\sqrt{7}.

$$x=\frac{4\times 21}{32\sqrt{7}}$$

Divide 4 by \frac{32}{21}\sqrt{7}.

$$x=\frac{3\sqrt{7}}{8}$$