Solve x^2=2(800-1)/800*12

$$x ^ { 2 } = \frac { 2 ( 800 - 1 ) } { 800 \times 12 }$$

Solve for x

$$x=\frac{\sqrt{2397}}{120}\approx 0.407993055$$

$$x=-\frac{\sqrt{2397}}{120}\approx -0.407993055$$

Steps by Finding Square Root

Cancel out 2 in both numerator and denominator.

$$x^{2}=\frac{800-1}{12\times 400}$$

Subtract 1 from 800 to get 799.

$$x^{2}=\frac{799}{12\times 400}$$

Multiply 12 and 400 to get 4800.

$$x^{2}=\frac{799}{4800}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{2397}}{120} x=-\frac{\sqrt{2397}}{120}$$

Steps Using the Quadratic Formula

Cancel out 2 in both numerator and denominator.

$$x^{2}=\frac{800-1}{12\times 400}$$

Subtract 1 from 800 to get 799.

$$x^{2}=\frac{799}{12\times 400}$$

Multiply 12 and 400 to get 4800.

$$x^{2}=\frac{799}{4800}$$

Subtract \frac{799}{4800} from both sides.

$$x^{2}-\frac{799}{4800}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -\frac{799}{4800} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{799}{4800}\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{799}{4800}\right)}}{2}$$

Multiply -4 times -\frac{799}{4800}.

$$x=\frac{0±\sqrt{\frac{799}{1200}}}{2}$$

Take the square root of \frac{799}{1200}.

$$x=\frac{0±\frac{\sqrt{2397}}{60}}{2}$$

Now solve the equation x=\frac{0±\frac{\sqrt{2397}}{60}}{2} when ± is plus.

$$x=\frac{\sqrt{2397}}{120}$$

Now solve the equation x=\frac{0±\frac{\sqrt{2397}}{60}}{2} when ± is minus.

$$x=-\frac{\sqrt{2397}}{120}$$

The equation is now solved.

$$x=\frac{\sqrt{2397}}{120} x=-\frac{\sqrt{2397}}{120}$$