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Андрей26021
@Андрей26021
September 2021
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54, 56 помогите пожалуйста
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sedinalana
Verified answer
54
(x+6)/(x-6)+(3x-2)/2≥0
(2x+12+3x²-2x-18x+12)/[2(x-6)]≥0
(3x²-18x+24)/[2(x-6)]≥0
3(x²-6x+8)/[2(x-6)]≥0
x²-6x+8=0
x1+x2=6 U x1*x2=8⇒x1=2 U x2=4
x-6=0⇒x=6
_ + _ +
--------------[2]----------[4]-------------(6)-------------------
x∈[2;4] U (6;∞)
56
4x/(x+3)-(x+1)>0
(4x-x²-3x-x-3)/(x+3)>0
(x²+3)/(x-3)<0
x²+3>0 при любом х⇒x-3<0⇒x<3
x∈(-∞;3)
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Verified answer
54(x+6)/(x-6)+(3x-2)/2≥0
(2x+12+3x²-2x-18x+12)/[2(x-6)]≥0
(3x²-18x+24)/[2(x-6)]≥0
3(x²-6x+8)/[2(x-6)]≥0
x²-6x+8=0
x1+x2=6 U x1*x2=8⇒x1=2 U x2=4
x-6=0⇒x=6
_ + _ +
--------------[2]----------[4]-------------(6)-------------------
x∈[2;4] U (6;∞)
56
4x/(x+3)-(x+1)>0
(4x-x²-3x-x-3)/(x+3)>0
(x²+3)/(x-3)<0
x²+3>0 при любом х⇒x-3<0⇒x<3
x∈(-∞;3)