9(x-3)²=25 x²+3x-1=0 (2x-3)²-2(3-2x)=8 x(x-1)=2
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9(x-3)²=25 x²+3x-1=0 (2x-3)²-2(3-2x)=8 x(x-1)=2
9(x-3)²=25 x²+3x-1=0 (2x-3)²-2(3-2x)=8 x(x-1)=2
9(x-3)²=25 x²+3x-1=0 (2x-3)²-2(3-2x)=8 x(x-1)=2
9(x-3)²=25
(x-3)²=25/9
x-3=5/3或x-3=-5/3
∴x=3+5/3或x=3-5/3
即:x=14/3或x=4/3
x²+3x-1=0
x²+3x=1
x²+3x+(3/2)²=1+9/4
(x+3/2)²=13/4
x+3/2=(√13)/2或x+3/2=-(√13)/2
即:x=(-3+√13)/2或x=(-3-√13)/2
(2x-3)²-2(3-2x)=8
(2x-3)²+2(2x-3)-8=0
[(2x-3)+4][(2x-3)-2]=0
(2x+1)(2x-5)=0
x=-1/2或x=5/2
x(x-1)=2
x²-x-2=0
(x-2)(x+1)=0
x=2或x=-1