Solve 1/200*x^2=1379.02

$$1 / 200 \times x ^ { 2 } = 1379.02$$

Solve for x

$$x=38\sqrt{191}\approx 525.170448521$$

$$x=-38\sqrt{191}\approx -525.170448521$$

Steps by Finding Square Root

Multiply both sides by 200, the reciprocal of \frac{1}{200}.

$$x^{2}=1379.02\times 200$$

Multiply 1379.02 and 200 to get 275804.

$$x^{2}=275804$$

Take the square root of both sides of the equation.

$$x=38\sqrt{191} x=-38\sqrt{191}$$

Steps Using the Quadratic Formula

Multiply both sides by 200, the reciprocal of \frac{1}{200}.

$$x^{2}=1379.02\times 200$$

Multiply 1379.02 and 200 to get 275804.

$$x^{2}=275804$$

Subtract 275804 from both sides.

$$x^{2}-275804=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -275804 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-275804\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-275804\right)}}{2}$$

Multiply -4 times -275804.

$$x=\frac{0±\sqrt{1103216}}{2}$$

Take the square root of 1103216.

$$x=\frac{0±76\sqrt{191}}{2}$$

Now solve the equation x=\frac{0±76\sqrt{191}}{2} when ± is plus.

$$x=38\sqrt{191}$$

Now solve the equation x=\frac{0±76\sqrt{191}}{2} when ± is minus.

$$x=-38\sqrt{191}$$

The equation is now solved.

$$x=38\sqrt{191} x=-38\sqrt{191}$$