Evaluate
x+7-\frac{1}{x}
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x+7-\frac{1}{x}
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\frac{x^{3}+7x^{2}-x}{x^{2}}
Combine -5x and 4x to get -x.
\frac{x\left(x-\left(-\frac{1}{2}\sqrt{53}-\frac{7}{2}\right)\right)\left(x-\left(\frac{1}{2}\sqrt{53}-\frac{7}{2}\right)\right)}{x^{2}}
Factor the expressions that are not already factored.
\frac{\left(x-\left(-\frac{1}{2}\sqrt{53}-\frac{7}{2}\right)\right)\left(x-\left(\frac{1}{2}\sqrt{53}-\frac{7}{2}\right)\right)}{x}
Cancel out x in both numerator and denominator.
\frac{x^{2}+7x-1}{x}
Expand the expression.
\frac{x^{3}+7x^{2}-x}{x^{2}}
Combine -5x and 4x to get -x.
\frac{x\left(x-\left(-\frac{1}{2}\sqrt{53}-\frac{7}{2}\right)\right)\left(x-\left(\frac{1}{2}\sqrt{53}-\frac{7}{2}\right)\right)}{x^{2}}
Factor the expressions that are not already factored.
\frac{\left(x-\left(-\frac{1}{2}\sqrt{53}-\frac{7}{2}\right)\right)\left(x-\left(\frac{1}{2}\sqrt{53}-\frac{7}{2}\right)\right)}{x}
Cancel out x in both numerator and denominator.
\frac{x^{2}+7x-1}{x}
Expand the expression.
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