Question

Распишите пожалуйста подробно решение! 30Баллов!!

Answer 1

$1); ; x^3-3x^2-8x+24=0\\x^2(x-3)-8(x-3)=0\\(x-3)(x^2-8)=0\\(x-3)(x-sqrt8)(x+sqrt8)=0\\(x-3)(x-2sqrt2)(x+2sqrt2)=0\\x_1=3; ,; ; x_2=2sqrt2; ,; x_3=-2sqrt2\\2); ; left { {{4(9x+3)-9(4x+3)>3x; ,} atop {(x-2)(x+9)<0; .}} right. ; left { {{36x+12-36x-27>3x} atop {xin (-9,2)}} right. ; left { {{3x<-15} atop {xin (-9,2)}} right. \\left { {{x<-5} atop {xin (-9,2)}} right. ; left { {{xin (-infty ,-5)} atop {xin (-9,2)}} right. ; ; Rightarrow ; ; ; xin (-9,-5)$

$star ; ; (x-2)(x+9)<0; ; ; qquad +++(-9)---(2)+++\\xin (-9,2)$