Question Number 202580 by hardmath last updated on 29/Dec/23
$$\mathrm{If} \\ $$$$\underset{\:=\:\boldsymbol{\mathrm{b}}} {\mathrm{max}}\:\underset{\:=\:\boldsymbol{\mathrm{a}}} {\mathrm{min}}\:\left(\mathrm{a}^{\mathrm{2}} \:-\:\mathrm{2ab}\:-\:\mathrm{b}^{\mathrm{2}} \:-\:\mathrm{2ax}\:+\:\mathrm{10bx}\right)\:=\:\mathrm{7} \\ $$$$ \\ $$$$\mathrm{Find}:\:\:\:\boldsymbol{\mathrm{x}}\:=\:? \\ $$