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Category: Coordinate Geometry

x-1-x-x-3-gt-8-

Question Number 227326 by gregori last updated on 16/Jan/26 $$\:\:\:\mid\:{x}+\mathrm{1}\:\mid\:+\:\mid\:{x}\:\mid\:+\:\mid\:{x}−\mathrm{3}\mid\:>\:\mathrm{8}\:\: \\ $$ Answered by Kassista last updated on 16/Jan/26 $$ \\ $$$${if}\:{x}\geqslant\mathrm{3}: \\ $$$${x}+\mathrm{1}+{x}+{x}−\mathrm{3}>\mathrm{8}\:\Leftrightarrow\:\mathrm{3}{x}−\mathrm{2}>\mathrm{8},\:\mathrm{3}{x}>\mathrm{10},\:{x}>\frac{\mathrm{10}}{\mathrm{3}}…\left(\mathrm{1}\right) \\…

Question-226770

Question Number 226770 by gregori last updated on 14/Dec/25 Answered by TonyCWX last updated on 14/Dec/25 $$\mathrm{Stewart}'\mathrm{s}\:\mathrm{Theorem}: \\ $$$${b}^{\mathrm{2}} {x}+{b}^{\mathrm{2}} {y}=\left({x}+{y}\right)\left({z}^{\mathrm{2}} −{xy}\right) \\ $$$${b}^{\mathrm{2}} \left({x}+{y}\right)=\left({x}+{y}\right)\left({z}^{\mathrm{2}}…