Solve 37-348/x^2=0rightarrow

$$37 - \frac { 348 } { x ^ { 2 } } = 0 \rightarrow$$

Solve for x

$$x = \frac{2 \sqrt{3219}}{37} \approx 3.066823341$$

$$x = -\frac{2 \sqrt{3219}}{37} \approx -3.066823341$$

Steps by Finding Square Root

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x^{2}.

$$x^{2}\times 37-348=0$$

Add 348 to both sides. Anything plus zero gives itself.

$$x^{2}\times 37=348$$

Divide both sides by 37.

$$x^{2}=\frac{348}{37}$$

Take the square root of both sides of the equation.

$$x=\frac{2\sqrt{3219}}{37} x=-\frac{2\sqrt{3219}}{37}$$

Steps Using the Quadratic Formula

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x^{2}.

$$x^{2}\times 37-348=0$$

Quadratic equations like this one, with an x^{2} term but no x term, can still be solved using the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, once they are put in standard form: ax^{2}+bx+c=0.

$$37x^{2}-348=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 37 for a, 0 for b, and -348 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 37\left(-348\right)}}{2\times 37}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 37\left(-348\right)}}{2\times 37}$$

Multiply -4 times 37.

$$x=\frac{0±\sqrt{-148\left(-348\right)}}{2\times 37}$$

Multiply -148 times -348.

$$x=\frac{0±\sqrt{51504}}{2\times 37}$$

Take the square root of 51504.

$$x=\frac{0±4\sqrt{3219}}{2\times 37}$$

Multiply 2 times 37.

$$x=\frac{0±4\sqrt{3219}}{74}$$

Now solve the equation x=\frac{0±4\sqrt{3219}}{74} when ± is plus.

$$x=\frac{2\sqrt{3219}}{37}$$

Now solve the equation x=\frac{0±4\sqrt{3219}}{74} when ± is minus.

$$x=-\frac{2\sqrt{3219}}{37}$$

The equation is now solved.

$$x=\frac{2\sqrt{3219}}{37} x=-\frac{2\sqrt{3219}}{37}$$