Solve x^2+x+7/xsqrt{16}

$${ x }^{ 2 } + \frac{ x+7 }{ x \sqrt{ 16 } }$$

Evaluate

$$x^{2}+\frac{1}{4}+\frac{7}{4x}$$

Short Solution Steps

Calculate the square root of 16 and get 4.

$$x^{2}+\frac{x+7}{x\times 4}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{2} times \frac{x\times 4}{x\times 4}.

$$\frac{x^{2}x\times 4}{x\times 4}+\frac{x+7}{x\times 4}$$

Since \frac{x^{2}x\times 4}{x\times 4} and \frac{x+7}{x\times 4} have the same denominator, add them by adding their numerators.

$$\frac{x^{2}x\times 4+x+7}{x\times 4}$$

Do the multiplications in x^{2}x\times 4+x+7.

$$\frac{4x^{3}+x+7}{x\times 4}$$

Factor

$$\frac{4x^{3}+x+7}{4x}$$