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mashka5476
@mashka5476
September 2021
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Розв'язить нерівність х²-(х-3)(х-3)<3х
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miron2077
Verified answer
х²-(х-3)(х-3)<3х
x²-x²+6x-9<3x
6x-3x<9
3x<9
x<3
x∈(-∞;3)
0 votes
Thanks 0
Solнышко
х²-(х-3)(х-3)<3х
x
² -(x²-3x-3x+9) -3x<0
x² -(x²-6x+9)-3x<0
x²-x²+6x-9 -3x<0
3x -9 <0
3(x-3)<0
x-3<0
x< 3
0 votes
Thanks 0
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Answers & Comments
Verified answer
х²-(х-3)(х-3)<3хx²-x²+6x-9<3x
6x-3x<9
3x<9
x<3
x∈(-∞;3)
x² -(x²-3x-3x+9) -3x<0
x² -(x²-6x+9)-3x<0
x²-x²+6x-9 -3x<0
3x -9 <0
3(x-3)<0
x-3<0
x< 3