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Question Number 85250 by niroj last updated on 20/Mar/20
$$\:\boldsymbol{\mathrm{Find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{general}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{singular}}\:\boldsymbol{\mathrm{solution}}\:\boldsymbol{\mathrm{of}}\: \\ $$$$\:\left(\mathrm{i}\right).\:\boldsymbol{\mathrm{y}}=\:\boldsymbol{\mathrm{px}}\:+\:\boldsymbol{\mathrm{p}}^{\boldsymbol{\mathrm{n}}} \\ $$$$\left(\mathrm{ii}\right).\:\left(\boldsymbol{\mathrm{x}}−\boldsymbol{\mathrm{a}}\right)\boldsymbol{\mathrm{p}}^{\mathrm{2}} +\left(\boldsymbol{\mathrm{x}}−\boldsymbol{\mathrm{y}}\right)\boldsymbol{\mathrm{p}}−\boldsymbol{\mathrm{y}}=\mathrm{0} \\ $$$$\: \\ $$