用因式法解这个方程:9(X-3)^2=4(X-5)^2

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用因式法解这个方程:9(X-3)^2=4(X-5)^2用因式法解这个方程:9(X-3)^2=4(X-5)^2用因式法解这个方程:9(X-3)^2=4(X-5)^2[3(x-3)²-[2(x-

用因式法解这个方程:9(X-3)^2=4(X-5)^2
用因式法解这个方程:9(X-3)^2=4(X-5)^2

用因式法解这个方程:9(X-3)^2=4(X-5)^2
[3(x-3)²-[2(x-5)²]=0
(3x-9+2x-10)(3x-9-2x+10)=0
(5x-19)(x+1)=0
x1=19/5,x2=-1

9(X-3)^2-4(X-5)^2=0
[3(x-3)-2(x-5)][3(x-3)+2(x-5)]=0
(x+1)(5x-19)=0
x=-1或x=19/5

(5x-19)(x+1)=0
x=19\5
x=-1