Solve 1200x^2/400=13054.94

$$\frac { 1200 x ^ { 2 } } { 400 } = 13054.94$$

Solve for x

$$x = \frac{\sqrt{3916482}}{30} \approx 65.967011958$$

$$x = -\frac{\sqrt{3916482}}{30} \approx -65.967011958$$

Steps by Finding Square Root

Multiply both sides by 400.

$$1200x^{2}=13054.94\times 400$$

Multiply 13054.94 and 400 to get 5221976.

$$1200x^{2}=5221976$$

Divide both sides by 1200.

$$x^{2}=\frac{5221976}{1200}$$

Reduce the fraction \frac{5221976}{1200} to lowest terms by extracting and canceling out 8.

$$x^{2}=\frac{652747}{150}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{3916482}}{30} x=-\frac{\sqrt{3916482}}{30}$$

Steps Using the Quadratic Formula

Multiply both sides by 400.

$$1200x^{2}=13054.94\times 400$$

Multiply 13054.94 and 400 to get 5221976.

$$1200x^{2}=5221976$$

Subtract 5221976 from both sides.

$$1200x^{2}-5221976=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1200 for a, 0 for b, and -5221976 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 1200\left(-5221976\right)}}{2\times 1200}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 1200\left(-5221976\right)}}{2\times 1200}$$

Multiply -4 times 1200.

$$x=\frac{0±\sqrt{-4800\left(-5221976\right)}}{2\times 1200}$$

Multiply -4800 times -5221976.

$$x=\frac{0±\sqrt{25065484800}}{2\times 1200}$$

Take the square root of 25065484800.

$$x=\frac{0±80\sqrt{3916482}}{2\times 1200}$$

Multiply 2 times 1200.

$$x=\frac{0±80\sqrt{3916482}}{2400}$$

Now solve the equation x=\frac{0±80\sqrt{3916482}}{2400} when ± is plus.

$$x=\frac{\sqrt{3916482}}{30}$$

Now solve the equation x=\frac{0±80\sqrt{3916482}}{2400} when ± is minus.

$$x=-\frac{\sqrt{3916482}}{30}$$

The equation is now solved.

$$x=\frac{\sqrt{3916482}}{30} x=-\frac{\sqrt{3916482}}{30}$$