解方程9(x²-1)²-4(x²+1)²=0
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解方程9(x²-1)²-4(x²+1)²=0
解方程9(x²-1)²-4(x²+1)²=0
解方程9(x²-1)²-4(x²+1)²=0
9(x²-1)²-4(x²+1)²=0
【3(x²-1)-2(x²+1)】【3(x²-1)+2(x²+1)】=0
(x²-5)(5x²-1)=0
x²-5=0,5x²-1=0
x1=√5,x2=-√5,x3=√5/5,z4=-√5/5
9(x²-1)²-4(x²+1)²=0
[3(x²-1)-2(x²+1)][3(x²-1)+2(x²+1)]=0
[3x²-3-2x²-2][3x²-3+2x²+2]=0
[x²-5][5x²-1]=0
(x-√5)(x+√5)(x√5-1)(x√5+1)=0
x=√5或x=-√5或x=√5/5或x=-√5/5