1)(x^5-x²)/x²-(x³-1)/4x²≥0
(4x^5-4x²-x³+1)/4x²≥0
[4x²(x³-1)-(x³-1)]/4x²≥0
(x³-1)(4x²-1)/4x²≥0
x³-1=0⇒x³=1⇒x=1
4x²-1=0⇒4x²=1⇒x²=1/4⇒x=-1/2 U x=1/2
x²=0⇒x=0
+ _ + _ +
---------[-1/2]---------(0)-----------------[1/2]-------------[1]------------------
x≤-1/2 U 02)|2x²+19x/8-1/8|≥3x²+x/8-19/8
2x²+19x/8-1/8≤-(3x²+x/8-19/8) U2x²+19x/8-1/8≥3x²+x/8-19/8
a)16x²+19x-1+24x²+x-19≤0
40x²+20x-20≤0
2x²+x-1≤0
D=1+8=9
x1=(-1-3)/4=-1
x2=(-1+3)/4=1/2
-1≤x≤1/2
b)16x²+19x-1-24x²-x+19≥0
8x²-18x-18≤0
4x²-9x-9≤0
D=81+144=225
x1=(9-15)/8=-3/4
x2=(9+15)/8=3
-3/4≤x≤3
Общее x∈[-3/4;-1/2] U (0;1/2]