Fractional Exponents Equation

Solve the equation $6 x = 5 x^{- \frac{1}{2}} - 13$ .

~5 minAnswer checked instantlyfractional exponentsquadratic form

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.a, No. 9

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