Solve f(x)=x^2/2+5

$$f ( x ) = \frac { x ^ { 2 } } { 2 } + 5$$

Evaluate

$$\frac{x^{2}}{2}+5$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{2}{2}.

$$\frac{x^{2}}{2}+\frac{5\times 2}{2}$$

Since \frac{x^{2}}{2} and \frac{5\times 2}{2} have the same denominator, add them by adding their numerators.

$$\frac{x^{2}+5\times 2}{2}$$

Do the multiplications in x^{2}+5\times 2.

$$\frac{x^{2}+10}{2}$$

Factor

$$\frac{x^{2}+10}{2}$$

Solution Steps

Factor out \frac{1}{2}. Polynomial x^{2}+10 is not factored since it does not have any rational roots.

$$\frac{x^{2}+10}{2}$$