Question Number 159280 by HongKing last updated on 14/Nov/21
$$\boldsymbol{\mathrm{S}}\mathrm{olve}\:\mathrm{in}\:\mathbb{R}\::\:\:\sqrt{\mathrm{x}}\:=\:\frac{\mathrm{x}^{\mathrm{2}} \:-\:\mathrm{244x}\:+\:\mathrm{736}}{\mathrm{1008}} \\ $$$$ \\ $$
Answered by MJS_new last updated on 14/Nov/21
$$\mathrm{just}\:\mathrm{square}\:\mathrm{and}\:\mathrm{solve}\:\left(\mathrm{and}\:\mathrm{test}\:\mathrm{the}\:\mathrm{solutions}\right) \\ $$$$\Rightarrow \\ $$$${x}_{\mathrm{1}} =\mathrm{80}−\mathrm{24}\sqrt{\mathrm{11}} \\ $$$${x}_{\mathrm{2}} =\mathrm{164}+\mathrm{96}\sqrt{\mathrm{2}} \\ $$
Commented by HongKing last updated on 15/Nov/21
$$\mathrm{thank}\:\mathrm{you}\:\mathrm{so}\:\mathrm{much}\:\mathrm{dear}\:\boldsymbol{\mathrm{S}}\mathrm{er} \\ $$