100 = 4*25
125 = 5*25
НСК = 4*5*25 = 500
НСД = 25
54 = 2*27=2*3³
64 = 2*32=2⁶
НСК = 2⁵*3³ = 32*27=
=(3x*3b+5x*6a-7*2b)/12a²b²=(9bx+30ax-14b)/12а²b²
-1 <= (x^2 - 5x + 4) / (x^2 - 4) <= 1;
(x^2 - 5x + 4) / (x^2 - 4<span>) - 1 <= 0;
</span>(-5x + 8) / ((x - 2) * (x + 2)) <= 0;
x ∈ (-2; -1.6] U (2; +00);
-1 <= (x^2 - 5x + 4) / (x^2 - 4<span>);
</span>(x^2 - 5x + 4) / (x^2 - 4<span>) + 1 >= 0;
</span>(2x^2 - 5x) / ((x - 2) * (x + 2)<span>) >= 0;
</span>x(2x - 5) / ((x - 2) * (x + 2)<span>) >= 0;
</span><span>x ∈ (-00; -2) U [0; 2) U [2.5; +00);
</span>Ответ: <span>x ∈ [2.5; +00).</span>
(Х-1)х2+2х-х2+3х=3х-1
(Сокращаем)
(Х-1)+2х=-1
2х2-2х+1=0
Д=4-1•2•4=-4(нет действительных корней Д<0)
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