Solve 5xx/100=1400

$$\frac { 5 x x } { 100 } = 1400$$

Solve for x

$$x=20\sqrt{70}\approx 167.332005307$$

$$x=-20\sqrt{70}\approx -167.332005307$$

Steps by Finding Square Root

Multiply both sides by 100.

$$5xx=1400\times 100$$

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

$$5x^{2}=1400\times 100$$

Multiply 1400 and 100 to get 140000.

$$5x^{2}=140000$$

Divide both sides by 5.

$$x^{2}=\frac{140000}{5}$$

Divide 140000 by 5 to get 28000.

$$x^{2}=28000$$

Take the square root of both sides of the equation.

$$x=20\sqrt{70} x=-20\sqrt{70}$$

Steps Using the Quadratic Formula

Multiply both sides by 100.

$$5xx=1400\times 100$$

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

$$5x^{2}=1400\times 100$$

Multiply 1400 and 100 to get 140000.

$$5x^{2}=140000$$

Subtract 140000 from both sides.

$$5x^{2}-140000=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 5 for a, 0 for b, and -140000 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 5\left(-140000\right)}}{2\times 5}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 5\left(-140000\right)}}{2\times 5}$$

Multiply -4 times 5.

$$x=\frac{0±\sqrt{-20\left(-140000\right)}}{2\times 5}$$

Multiply -20 times -140000.

$$x=\frac{0±\sqrt{2800000}}{2\times 5}$$

Take the square root of 2800000.

$$x=\frac{0±200\sqrt{70}}{2\times 5}$$

Multiply 2 times 5.

$$x=\frac{0±200\sqrt{70}}{10}$$

Now solve the equation x=\frac{0±200\sqrt{70}}{10} when ± is plus.

$$x=20\sqrt{70}$$

Now solve the equation x=\frac{0±200\sqrt{70}}{10} when ± is minus.

$$x=-20\sqrt{70}$$

The equation is now solved.

$$x=20\sqrt{70} x=-20\sqrt{70}$$