D=(2t)^2-4(3t-2)=4t^2-12t+8
Д<0; 4t^2-12t+8<0 (:4) ;t^2-3t+2<0
D=9-8=1;x=2;x=1
(x-2)(x-1)<0
(1;2)
(1/3+x):7=(3/4+x):9
(1+3x)*9/3=(3+4x)*7/4
(1+3x)*12=(3+4x)*7
12+36x=21+28x
8x=9
x=9/8
-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>
2 * sin (π/6 - x) + 1 = 0
sin (π/6 - x) = -1/2
π/6 - x = (-1)ⁿ⁺¹ · π/6 + πn, n ∈ Z
x = (-1)ⁿ · π/6 + π/6 - πn,n ∈ Z