293 Найти корни уравнения а) |x^2+3x-1|=3x

[latex]|x^2+3x-1|=3x \ left { {3x geq 0} atop {left[array$ x^2+3x-1=3x \ x^2+3x-1=-3x end{array}ight.}} ight. \ left { {x geq 0} atop {left[array$ x^2-1=0 \ x^2+6x-1=0 end{array}ight.}} ight. \ left { {x geq 0} atop {left[array$ x^2=1 \ D_1=3^2+1cdot1=10 end{array}ight.}} ight. Rightarrow left { {x geq 0} atop {left[array$ x=pm1 \ x= -3pm sqrt{10} end{array}ight.}} ight. Rightarrow left[array$ x=1 \ x= -3+sqrt{10} end{array}ight.}[/latex]Ответ: [latex]1[/latex] и [latex]-3+sqrt{10}[/latex]