X(2x-x²)(2-x²)(x²-5x+6)/(4+x²)(x³-8)(x²+x+200)≤0
x²(2-x)(√2-x)(√2+x)((x-2)(x-3)/(4+x²)(x-2)(x²+2x+4)(x²+x+200)≤0
x≠2
x²(x-2)(x-√2)(x+√2)(x-3)/(4+x²)(x²+2x+4)(x²+x+200)≤0
4+x²>0 при любом х,x²+2x+4>0 при любом х,x²+x+200>0 при любом х т.к.D<0⇒<br>x²(x-2)(x-√2)(x+√2)(x-3)≤0
x=0 x=2 x=√2 x=-√2 x=3
+ - - + _ +
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-√2 0 √2 2 3
x∈[-√2;√2] U (2;3]