Question

$( x^{2} + frac{3}{x} )( frac{ sqrt{ x^{2} -6x+9}-1 }{ sqrt{5-x}-1 } )^2 geq 4( frac{ sqrt{ x^{2} -6x+9} -1}{ sqrt{5-x}-1 } )^2$
помогите одз найти

Answer 1

$1) x neq 0\ 2) x^2-6x+9 geq 0\ (x-3)^2 geq 0\ x in R\ 3) 5-x geq 0\ x leq 5\ 4) sqrt{5-x} -1 neq 0\ 5-x neq 1\ x neq 4\ Otvet: xin(-infty;0)U(0;4)U(4;5]$