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Question Number 69571 by Ajao yinka last updated on 25/Sep/19

Answered by MJS last updated on 25/Sep/19

$$m^6+375n^2{m}^2+n^6-1953125=0$$$$m=\sqrt{t}$$$$t^3+375n^{2}t+n^6-1953125=0$$$${\mathrm{Cardano}}^{\prime }\mathrm{s}\mathrm{method}\mathrm{leads}\mathrm{to}$$$$t=125-n^2$$$$\Rightarrow m=\sqrt{125-n^2}$$$$\mathrm{pairs}\mathrm{of}m,n\mathrm{are}2,11\mathrm{or}5,10\mathrm{or}10,5\mathrm{or}11,2$$

Commented by Ajao yinka last updated on 26/Sep/19

$$niceone$$

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