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sashkabely
@sashkabely
July 2022
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|x^2+5x-6|<=|78-3x|
помогите решить нерав-во с модулем ,очень нужно!!
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21sadtylers
X²+5x-6=0
x=-6; x=1
78-3x=0
x=26
1) x<=-6
x²+5x-6<=78-3x
x²+8x-84<=0
D=64+336=400
x=(-8±20)/2
-14<=x<=6
-14<=x<=-6
2) -6<x<=1
-x²-5x+6<=78-3x
-x²-2x-72<=0
x²+2x+72>=0
D=4-288<0
-6<x<=1
3) 1<x<=26
x²+5x-6<=78-3x
-14<=x<=6
1<x<=6
4) x>26
x²+5x-6<=-78+3x
x²-2x+72<=0
D=4-288<0
нет решений
ответ: [-14;6]
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Answers & Comments
x=-6; x=1
78-3x=0
x=26
1) x<=-6
x²+5x-6<=78-3x
x²+8x-84<=0
D=64+336=400
x=(-8±20)/2
-14<=x<=6
-14<=x<=-6
2) -6<x<=1
-x²-5x+6<=78-3x
-x²-2x-72<=0
x²+2x+72>=0
D=4-288<0
-6<x<=1
3) 1<x<=26
x²+5x-6<=78-3x
-14<=x<=6
1<x<=6
4) x>26
x²+5x-6<=-78+3x
x²-2x+72<=0
D=4-288<0
нет решений
ответ: [-14;6]