решите неравенства1)2(х-18)(х-19)>02)-4(x+0.9)(x-3.2)

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решите неравенства
1)2(х-18)(х-19)>0
2)-4(x+0.9)(x-3.2)<0
3)(7x+21)(x-8.5)меньше или равно 0
4)(8-x)(x-0.3)больше или равно 0

Answers & Comments

MegMasters 1) (2x-36)(x-19)>0; 2x²-38x-36x+684>0; 2x²-74x+684 >0; D=5476-5472=4; x1=19; x2=18
  + - +
18 19
х∈(-≈;18) U (19;≈)

2) (-4x-3,6)(x-3,2)<0; -4x²+12,8x-3,6x+11,52<0; -4x²+9,2x+11,52<0; D=84,64+184,32=268,96; x1=-0.9; x2=3,2
  - + -
-0,9 3,2
x∈(-∞;-0,9)U(3,2;∞)

3) 7x²-59,5x+21x-178,5≤0; 7x²-38.5x-178,5≤0; D=1482,25+4998=6480,25; x1=-3; x2=8,5
+ - +
-3 8,5
x∈[-3;8,5]

4) 8x-2,4-x²+0,3x≥0; -x²+8,3x-2,4≥0; D=68,89-9.6=59,29; x1=8; x2=0,3
- + -
0,3 8
x∈[0,3;8]

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