#1298 · Algebra · Linear equations

Homogeneous Radical Equation

Solve the equation $(a + x)^{\frac{2}{3}} + 4 (a - x)^{\frac{2}{3}} = 5 (a^{2} - x^{2})^{\frac{1}{3}}$ .

~15 minAnswer checked instantlyHomogeneous equationsFractional exponents

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.a, No. 48

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