Ответ:
Объяснение:
1) (y+1)³ -y/4 ·(2y+3)²=7
y³+3y²+3y+1 -y/4 ·(4y²+12y+9)=7
y³+3y²+3y+1-y³-3y² -9/4 ·y=7
(12-9)/4 ·y=7-1
y=6·4/3=2·4=8
2) (8x-3)²x-(4x-1)³=7
(64x²-48x+9)x-(64x³-3·16x²+12x-1)=7
64x³-48x²+9x-64x³+48x²-12x+1=7
3x=1-7
x=-6/3=-2
3) (2x -1/3)³-x(2x -1/3)²=?
4) (4y-3)³-y(8y-9)²=0
64y³-9·16y²+12y·9-27-y(64y²-144y+81)=0
64y³-144y²+108y-27-64y³+144y²-81y=0
27y=27
y=27/27=1
5) x³+3x²+3x+1=0
(x+1)³=0
x+1=0
x=-1
6) 8y³-36y²+54y-27=0
(2y)³-3·(2y)²·3+3·2y·9-3³=0
(2y-3)³=0
2y-3=0
2y=3
y=3/2=1,5
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Answers & Comments
Ответ:
Объяснение:
1) (y+1)³ -y/4 ·(2y+3)²=7
y³+3y²+3y+1 -y/4 ·(4y²+12y+9)=7
y³+3y²+3y+1-y³-3y² -9/4 ·y=7
(12-9)/4 ·y=7-1
y=6·4/3=2·4=8
2) (8x-3)²x-(4x-1)³=7
(64x²-48x+9)x-(64x³-3·16x²+12x-1)=7
64x³-48x²+9x-64x³+48x²-12x+1=7
3x=1-7
x=-6/3=-2
3) (2x -1/3)³-x(2x -1/3)²=?
4) (4y-3)³-y(8y-9)²=0
64y³-9·16y²+12y·9-27-y(64y²-144y+81)=0
64y³-144y²+108y-27-64y³+144y²-81y=0
27y=27
y=27/27=1
5) x³+3x²+3x+1=0
(x+1)³=0
x+1=0
x=-1
6) 8y³-36y²+54y-27=0
(2y)³-3·(2y)²·3+3·2y·9-3³=0
(2y-3)³=0
2y-3=0
2y=3
y=3/2=1,5