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解(3)
4(x-1)²-9(3-2x)²=0
[2(x-1)]²-[3(3-2x)]²=0 运用平方差公式分解
[2(x-1)+3(3-2x)] [2(x-1)-3(3-2x)]=0
(2x-2+9-6x)(2x-2-9+6x)=0
(-4x+7)(8x-11)=0
-4x+7=0 或 8x-11=0
x1=7/4 , x2=11/8
解(4)
(2y+1)²+3(2y+1)+2=0 把(2y+1)看成整体,运用十字相乘法分解
(2y+1) +1
×
(2y+1) +2
[ (2y+1)+1 ] [ (2y+1)+2 ]=0
(2y+2)(2y+3)=0
2y+2=0 或 2y+3=0
y1=-1 , y2=-3/2
4(x-1)²-9(3-2x)²=0
[2(x-1)]²-[3(3-2x)]²=0 运用平方差公式分解
[2(x-1)+3(3-2x)] [2(x-1)-3(3-2x)]=0
(2x-2+9-6x)(2x-2-9+6x)=0
(-4x+7)(8x-11)=0
-4x+7=0 或 8x-11=0
x1=7/4 , x2=11/8
解(4)
(2y+1)²+3(2y+1)+2=0 把(2y+1)看成整体,运用十字相乘法分解
(2y+1) +1
×
(2y+1) +2
[ (2y+1)+1 ] [ (2y+1)+2 ]=0
(2y+2)(2y+3)=0
2y+2=0 或 2y+3=0
y1=-1 , y2=-3/2
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