用因式分解法解方程:(9+4根号2)x^2-(1+2根号2)x-2=0

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用因式分解法解方程:(9+4根号2)x^2-(1+2根号2)x-2=0
用因式分解法解方程:(9+4根号2)x^2-(1+2根号2)x-2=0

用因式分解法解方程:(9+4根号2)x^2-(1+2根号2)x-2=0
(9+4根号2)x^2-(1+2根号2)x-2=0
[(1+2根号2)x]^2-(1+2根号2)x-2=0
[(1+2根号2)x+1][(1+2根号2)x-2]=0
(1+2根号2)x=-1
x=-1/(1+2根号2)=-(2根号2-1)/7

(1+2根号2)x=2
x=2/(1+2根号2)=2(2根号2-1)/7

[(1+2根号2)x+1][(1+2根号2)x-2]=0

然后解一下

x1=-(2根号2-1)/7
x2=2(2根号2-1)/7