Solve 4.8x^22=1.2

$$4.8 x ^ { 2 } 2 = 1.2$$

Solve for x

$$x=\frac{\sqrt{2}}{4}\approx 0.353553391$$

$$x=-\frac{\sqrt{2}}{4}\approx -0.353553391$$

Steps by Finding Square Root

Multiply 4.8 and 2 to get 9.6.

$$9.6x^{2}=1.2$$

Divide both sides by 9.6.

$$x^{2}=\frac{1.2}{9.6}$$

Expand \frac{1.2}{9.6} by multiplying both numerator and the denominator by 10.

$$x^{2}=\frac{12}{96}$$

Reduce the fraction \frac{12}{96} to lowest terms by extracting and canceling out 12.

$$x^{2}=\frac{1}{8}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{2}}{4} x=-\frac{\sqrt{2}}{4}$$

Steps Using the Quadratic Formula

Multiply 4.8 and 2 to get 9.6.

$$9.6x^{2}=1.2$$

Subtract 1.2 from both sides.

$$9.6x^{2}-1.2=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 9.6 for a, 0 for b, and -1.2 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 9.6\left(-1.2\right)}}{2\times 9.6}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 9.6\left(-1.2\right)}}{2\times 9.6}$$

Multiply -4 times 9.6.

$$x=\frac{0±\sqrt{-38.4\left(-1.2\right)}}{2\times 9.6}$$

Multiply -38.4 times -1.2 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$x=\frac{0±\sqrt{46.08}}{2\times 9.6}$$

Take the square root of 46.08.

$$x=\frac{0±\frac{24\sqrt{2}}{5}}{2\times 9.6}$$

Multiply 2 times 9.6.

$$x=\frac{0±\frac{24\sqrt{2}}{5}}{19.2}$$

Now solve the equation x=\frac{0±\frac{24\sqrt{2}}{5}}{19.2} when ± is plus.

$$x=\frac{\sqrt{2}}{4}$$

Now solve the equation x=\frac{0±\frac{24\sqrt{2}}{5}}{19.2} when ± is minus.

$$x=-\frac{\sqrt{2}}{4}$$

The equation is now solved.

$$x=\frac{\sqrt{2}}{4} x=-\frac{\sqrt{2}}{4}$$