Solve x/2*x/2+2=

$$\frac { x } { 2 } \times \frac { x } { 2 } + 2 =$$

Evaluate

$$\frac{x^{2}}{4}+2$$

Short Solution Steps

Multiply \frac{x}{2} and \frac{x}{2} to get \left(\frac{x}{2}\right)^{2}.

$$\left(\frac{x}{2}\right)^{2}+2$$

To raise \frac{x}{2} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{x^{2}}{2^{2}}+2$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{2^{2}}{2^{2}}.

$$\frac{x^{2}}{2^{2}}+\frac{2\times 2^{2}}{2^{2}}$$

Since \frac{x^{2}}{2^{2}} and \frac{2\times 2^{2}}{2^{2}} have the same denominator, add them by adding their numerators.

$$\frac{x^{2}+2\times 2^{2}}{2^{2}}$$

Do the multiplications in x^{2}+2\times 2^{2}.

$$\frac{x^{2}+8}{2^{2}}$$

Expand 2^{2}.

$$\frac{x^{2}+8}{4}$$

Factor

$$\frac{x^{2}+8}{4}$$

Solution Steps

Factor out \frac{1}{4}. Polynomial x^{2}+8 is not factored since it does not have any rational roots.

$$\frac{xx+8}{4}$$