①4(x+2)²=(x+1)² ②x²-6x+9=0 ③(y-1)=2y(1-y) 怎么解
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①4(x+2)²=(x+1)² ②x²-6x+9=0 ③(y-1)=2y(1-y) 怎么解
①4(x+2)²=(x+1)² ②x²-6x+9=0 ③(y-1)=2y(1-y) 怎么解
①4(x+2)²=(x+1)² ②x²-6x+9=0 ③(y-1)=2y(1-y) 怎么解
解
①4(x+2)²=(x+1)²
[2(x+2)]²-(x+1)²=0
[2(x+2)+(x+1)][2(x+2)-(x+1)]=0
(3x+5)(x+3)=0
x=-5/3或x=-3
②x²-6x+9=0
(x-3)²=0
x=3
③(y-1)=2y(1-y)
y-1=2y-2y²
2y²-y-1=0
(2y+1)(y-1)=0
y=1或y=-1/2
①4(x+2)²=(x+1)²
2(x+2)=x+1 2(x+2)=-(x+1)
2x+4=x+1 2x+4=-x-1
x=-3 3x=-5
x=-5/3
②x²-6x+9=0
(x-3)²=0
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①4(x+2)²=(x+1)²
2(x+2)=x+1 2(x+2)=-(x+1)
2x+4=x+1 2x+4=-x-1
x=-3 3x=-5
x=-5/3
②x²-6x+9=0
(x-3)²=0
x=3
③(y-1)=2y(1-y)
(y-1)+2y(y-1)=0
(y-1)(1+2y)=0
y=1 y=-1/2
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