Solve -x=-34/x

$$- x = - \frac { 34 } { x }$$

Solve for x

$$x=\sqrt{34}\approx 5.830951895$$

$$x=-\sqrt{34}\approx -5.830951895$$

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.

$$-xx=-34$$

Multiply x and x to get x^{2}.

$$-x^{2}=-34$$

Divide both sides by -1.

$$x^{2}=\frac{-34}{-1}$$

Fraction \frac{-34}{-1} can be simplified to 34 by removing the negative sign from both the numerator and the denominator.

$$x^{2}=34$$

Take the square root of both sides of the equation.

$$x=\sqrt{34} x=-\sqrt{34}$$

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.

$$-xx=-34$$

Multiply x and x to get x^{2}.

$$-x^{2}=-34$$

Add 34 to both sides.

$$-x^{2}+34=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute -1 for a, 0 for b, and 34 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-1\right)\times 34}}{2\left(-1\right)}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-1\right)\times 34}}{2\left(-1\right)}$$

Multiply -4 times -1.

$$x=\frac{0±\sqrt{4\times 34}}{2\left(-1\right)}$$

Multiply 4 times 34.

$$x=\frac{0±\sqrt{136}}{2\left(-1\right)}$$

Take the square root of 136.

$$x=\frac{0±2\sqrt{34}}{2\left(-1\right)}$$

Multiply 2 times -1.

$$x=\frac{0±2\sqrt{34}}{-2}$$

Now solve the equation x=\frac{0±2\sqrt{34}}{-2} when ± is plus.

$$x=-\sqrt{34}$$

Now solve the equation x=\frac{0±2\sqrt{34}}{-2} when ± is minus.

$$x=\sqrt{34}$$

The equation is now solved.

$$x=-\sqrt{34} x=\sqrt{34}$$