Пожаалуйста,срочно нужно
В x-2/x=a a²-2a-3≥0 a1+a2=2 U a1*a2=-3 a1=-1 U a2=3 a≤-1⇒x-2/x≤-1 (x²+x-2)/x≤0 x1=x2=-1 U x1*x2=-2⇒x1=-2 U x2=1 x=0 _ + _ + -------------[-2]------------(0)-----------------[1]---------------------- x∈(-∞;-2] U (0;1] a≥3⇒x-2/x≥3 (x²-3x-2)/x≥0 D=9+8=17 x1=(3-√17)/2 U x2=(3+√17)/2 x=0 _ + _ + -------------[(3-√17)/2]------------(0)-----------------[(3+√17)/2]--------------------- x∈[(3-√17)/2;0) U [(3+√17)/2;∞) Ответ x∈(-∞;-2] U [(3-√17)/2;0) U (0;1] U [(3+√17)/2;∞) г x/(x²-2)=a a+6/a>7 (a²-7a+6)/a>0 a1+a2=7 U a1*a2=6⇒a1=1 U a2=6 a=0 _ + _ + ---------------------(0)-------------------(1)------------------(6)------------------- 06 {x/(x²-2)>0 {x/(x²-2)<1<br>1)x/(x-√2)(x+√2)>0 x=0 x=√2 x=-√2 _ + _ + -----------------(-√2)-------------------(0)------------------(√2)----------- -√2√2 2)x/(x-√2)(x+√2)-1<0<br>(x-x²+2)/(x-√2)(x+√2)<0<br>(x²-x-2)/(x-√2)(x+√2)>0 x1+x2=1 U x1*x2=-2⇒x1=-1 U x2=2 x=√2 x=-√2 x<-√2 U -1<x<√2 U x>2 x∈(-1;0) U (2;∞) x/(x-√2)(x+√2)>6 (x-6x²+12)/(x-√2)(x+√2)>0 (6x²-x-12)/(x-√2)(x+√2)<0<br>D=1+288=289 x1=(1-17)/12=-4/3 U x2=(1+17)/12=3/2 x=-√2 x=√2 + _ + _ + -----------------(-√2)--------(-4/3)-----------(√2)------------------(3/2)----------- -√2Ответ x∈(-√2;-4/3) U (-1;0) U (√2;3/2) U (2;∞)
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