Solve x^2=1728

$${ x }^{ 2 } =1728$$

Solve for x

$$x=24\sqrt{3}\approx 41.569219382$$

$$x=-24\sqrt{3}\approx -41.569219382$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x=24\sqrt{3} x=-24\sqrt{3}$$

Steps Using the Quadratic Formula

Subtract 1728 from both sides.

$$x^{2}-1728=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -1728 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-1728\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-1728\right)}}{2}$$

Multiply -4 times -1728.

$$x=\frac{0±\sqrt{6912}}{2}$$

Take the square root of 6912.

$$x=\frac{0±48\sqrt{3}}{2}$$

Now solve the equation x=\frac{0±48\sqrt{3}}{2} when ± is plus.

$$x=24\sqrt{3}$$

Now solve the equation x=\frac{0±48\sqrt{3}}{2} when ± is minus.

$$x=-24\sqrt{3}$$

The equation is now solved.

$$x=24\sqrt{3} x=-24\sqrt{3}$$