Solve 1/4(4900/x+x)

$$\frac{ 1 }{ 4 } ( \frac{ 4900 }{ x } +x)$$

Evaluate

$$\frac{x}{4}+\frac{1225}{x}$$

Short Solution Steps

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

$$\frac{1}{4}\left(\frac{4900}{x}+\frac{xx}{x}\right)$$

Since \frac{4900}{x} and \frac{xx}{x} have the same denominator, add them by adding their numerators.

$$\frac{1}{4}\times \frac{4900+xx}{x}$$

Do the multiplications in 4900+xx.

$$\frac{1}{4}\times \frac{4900+x^{2}}{x}$$

Multiply \frac{1}{4} times \frac{4900+x^{2}}{x} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4900+x^{2}}{4x}$$

Expand

$$\frac{x}{4}+\frac{1225}{x}$$

Short Solution Steps

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

$$\frac{1}{4}\left(\frac{4900}{x}+\frac{xx}{x}\right)$$

Since \frac{4900}{x} and \frac{xx}{x} have the same denominator, add them by adding their numerators.

$$\frac{1}{4}\times \frac{4900+xx}{x}$$

Do the multiplications in 4900+xx.

$$\frac{1}{4}\times \frac{4900+x^{2}}{x}$$

Multiply \frac{1}{4} times \frac{4900+x^{2}}{x} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4900+x^{2}}{4x}$$