Solve 2x^2=(1200)^2

$$2 x ^ { 2 } = ( 1200 ) ^ { 2 }$$

Solve for x

$$x=600\sqrt{2}\approx 848.528137424$$

$$x=-600\sqrt{2}\approx -848.528137424$$

Steps by Finding Square Root

Calculate 1200 to the power of 2 and get 1440000.

$$2x^{2}=1440000$$

Divide both sides by 2.

$$x^{2}=\frac{1440000}{2}$$

Divide 1440000 by 2 to get 720000.

$$x^{2}=720000$$

Take the square root of both sides of the equation.

$$x=600\sqrt{2} x=-600\sqrt{2}$$

Steps Using the Quadratic Formula

Calculate 1200 to the power of 2 and get 1440000.

$$2x^{2}=1440000$$

Subtract 1440000 from both sides.

$$2x^{2}-1440000=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 2 for a, 0 for b, and -1440000 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-1440000\right)}}{2\times 2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 2\left(-1440000\right)}}{2\times 2}$$

Multiply -4 times 2.

$$x=\frac{0±\sqrt{-8\left(-1440000\right)}}{2\times 2}$$

Multiply -8 times -1440000.

$$x=\frac{0±\sqrt{11520000}}{2\times 2}$$

Take the square root of 11520000.

$$x=\frac{0±2400\sqrt{2}}{2\times 2}$$

Multiply 2 times 2.

$$x=\frac{0±2400\sqrt{2}}{4}$$

Now solve the equation x=\frac{0±2400\sqrt{2}}{4} when ± is plus.

$$x=600\sqrt{2}$$

Now solve the equation x=\frac{0±2400\sqrt{2}}{4} when ± is minus.

$$x=-600\sqrt{2}$$

The equation is now solved.

$$x=600\sqrt{2} x=-600\sqrt{2}$$