- #1

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- Homework Statement
- Solve ##x## from $$\left ( a+x\right )^{2\over 3} + 6\left ( a-x\right )^{2\over 3} =5\left ( a^2- x^2 \right )^{1\over 3} $$

- Relevant Equations
- actually, my algebra appears insufficient :frown:

Book answer is ##\qquad a≥0\qquad x={ 7\over 9}\;a\ \ \lor\ \ x={ 13\over 14}\;a\ \ ##but I fail to see how to get there !

Stunned by an 1886 dutch high school exam exercise. Hats off for the 17 year olds that did it !

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Stunned by an 1886 dutch high school exam exercise. Hats off for the 17 year olds that did it !

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