Minimum value of a rational expression

Find the minimum value of $\frac{( 5 + x ) ( 2 + x )}{1 + x}$ .

~10 minAnswer checked instantlyMaximum and minimumAlgebraic manipulation

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIX. Inequalities, Examples XIX.a, No. 23

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).