Solve 9800divxdivx=2

$$9800 \div x \div x=2$$

Solve for x

$$x=70$$

$$x=-70$$

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.

$$\frac{9800}{x}=2x$$

Subtract 2x from both sides.

$$\frac{9800}{x}-2x=0$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -2x times \frac{x}{x}.

$$\frac{9800}{x}+\frac{-2xx}{x}=0$$

Since \frac{9800}{x} and \frac{-2xx}{x} have the same denominator, add them by adding their numerators.

$$\frac{9800-2xx}{x}=0$$

Do the multiplications in 9800-2xx.

$$\frac{9800-2x^{2}}{x}=0$$

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

$$9800-2x^{2}=0$$

Subtract 9800 from both sides. Anything subtracted from zero gives its negation.

$$-2x^{2}=-9800$$

Divide both sides by -2.

$$x^{2}=\frac{-9800}{-2}$$

Divide -9800 by -2 to get 4900.

$$x^{2}=4900$$

Take the square root of both sides of the equation.

$$x=70 x=-70$$

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.

$$\frac{9800}{x}=2x$$

Subtract 2x from both sides.

$$\frac{9800}{x}-2x=0$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -2x times \frac{x}{x}.

$$\frac{9800}{x}+\frac{-2xx}{x}=0$$

Since \frac{9800}{x} and \frac{-2xx}{x} have the same denominator, add them by adding their numerators.

$$\frac{9800-2xx}{x}=0$$

Do the multiplications in 9800-2xx.

$$\frac{9800-2x^{2}}{x}=0$$

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

$$9800-2x^{2}=0$$

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.

$$-2x^{2}+9800=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute -2 for a, 0 for b, and 9800 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-2\right)\times 9800}}{2\left(-2\right)}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-2\right)\times 9800}}{2\left(-2\right)}$$

Multiply -4 times -2.

$$x=\frac{0±\sqrt{8\times 9800}}{2\left(-2\right)}$$

Multiply 8 times 9800.

$$x=\frac{0±\sqrt{78400}}{2\left(-2\right)}$$

Take the square root of 78400.

$$x=\frac{0±280}{2\left(-2\right)}$$

Multiply 2 times -2.

$$x=\frac{0±280}{-4}$$

Now solve the equation x=\frac{0±280}{-4} when ± is plus. Divide 280 by -4.

$$x=-70$$

Now solve the equation x=\frac{0±280}{-4} when ± is minus. Divide -280 by -4.

$$x=70$$

The equation is now solved.

$$x=-70 x=70$$