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2013-01-22 · 知道合伙人教育行家
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(1)3x^2-4x=2x
解:3x^2-6x=0
3x(x-2)=0
3x=0 x-2=0
x1=0 x2=2
(3)x^2+(√3+1)x=2√2x
x^2+(√3+1)x-2√2x=0
解:x^2+(√3+1-2√2)x=0
x(x+√3+1-2√2)=0
x=0 x+√3+1-2√2=0
x1=0 x2=2√2-√3-1
(5)(x+1)(x-1)=2√2x
x^2-2√2x-1=0
(x-√2)^2-2-1=0
(x-√2)^2=3
x-√2=±√3
x1=√2+√3 x2=√2-√3
(7)(x+2)(x-5)=1
x^2-3x-11=0
(x-3/2)^2-9/4-11=0
(x-3/2)^2=53/4
x-3/2=±√53/2
x1=(3+√53)/2 x2=(3/2-√53)/2
解:3x^2-6x=0
3x(x-2)=0
3x=0 x-2=0
x1=0 x2=2
(3)x^2+(√3+1)x=2√2x
x^2+(√3+1)x-2√2x=0
解:x^2+(√3+1-2√2)x=0
x(x+√3+1-2√2)=0
x=0 x+√3+1-2√2=0
x1=0 x2=2√2-√3-1
(5)(x+1)(x-1)=2√2x
x^2-2√2x-1=0
(x-√2)^2-2-1=0
(x-√2)^2=3
x-√2=±√3
x1=√2+√3 x2=√2-√3
(7)(x+2)(x-5)=1
x^2-3x-11=0
(x-3/2)^2-9/4-11=0
(x-3/2)^2=53/4
x-3/2=±√53/2
x1=(3+√53)/2 x2=(3/2-√53)/2
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