[tex]\displaystyle\bf\\x^{2} -5|x|-24=0\\\\1) \ x < 0\\\\x^{2} +5x-24=0\\\\D=5^{2} -4\cdot(-24)=25+96=121=11^{2} \\\\x_{1} =\frac{-5-11}{2} =-8\\\\\\x_{2}=\frac{-5+11}{2}=3 > 0-neyd\\\\2) \ x\geq 0\\\\x^{2} -5x-24=0\\\\D=(-5)^{2} -4\cdot(-24)=25+96=121=11^{2} \\\\x_{1} =\frac{5-11}{2} =-3 < 0-neyd\\\\\\x_{2}=\frac{5+11}{2}=8\\\\\\Otvet \ . \ -8 \ ; \ 8[/tex]