Question

решите пожалуйста не получается у меня

Answer 1

$1); ; (x-2)^2 textless sqrt3(x-2)\\(x-2)^2-sqrt3(x-2) textless 0\\(x-2)(x-2-sqrt3) textless 0\\x-2=0; ; to ; ; x=2\\x-2-sqrt3=0; ; to ; ; ; x=2+sqrt3\\+++(2)---(2+sqrt3)+++\\xin (2;, 2+sqrt3)\\\2); ; x^2cdot (-x^2-100) leq 100cdot (-x^2-100)\\x^2cdot underbrace {(-x^2-100)}-100cdot underbrace {(-x^2-100)} leq 0\\underbrace {(-x^2-100)}cdot (x^2-100) leq 0\\-(x^2+100)cdot (x-10)(x+10) leq 0; |cdot (-1)\\underbrace {(x^2+100)}_{ textgreater 0}cdot (x-10)(x+10) geq 0$

$+++[-10, ]---[, 10, ]+++\\xin (-infty ,-10, ]cup [, 10,+infty )\\\3); ; frac{1}{(x-3)^2} - frac{3}{x-3} -4=0; ,; ; ODZ:; ; xne 3\\ frac{1-3(x-3)-4(x-3)^2}{(x-3)^2} =0\\ frac{1-3x+9-4x^2+24x-36}{(x-3)^2} =0\\ frac{-4x^2+21x-26}{(x-3)^2} =0; ; to ; ; 4x^2-21x+26=0\\D=25; ,; x_1=frac{21-5}{8}=2; ,; ; x_2=frac{21+5}{8}=frac{13}{2}=6,5\\Otvet:; ; x_1=2,; ; x_2=6,5; .$