9(x-4)^2=4(1-2x)^2用因式分解法解答

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9(x-4)^2=4(1-2x)^2用因式分解法解答

9(x-4)^2=4(1-2x)^2用因式分解法解答
9(x-4)^2=4(1-2x)^2用因式分解法解答

9(x-4)^2=4(1-2x)^2用因式分解法解答
9(x-4)^2=4(1-2x)^2
9(x-4)^2-4(1-2x)^2=0
[3(x-4)-2(1-2x)][3(x-4)+2(1-2x)]=0
(3x-12-2+4x)(3x-12+2-4x)=0
(7x-14)(-x-10)=0
(x-2)(x+10)=0
x=2或x=-10

9(x-4)^2=4(1-2x)^2
9(x-4)^2-4(1-2x)^2=0
[3(x-4)+2(1-2x)][3(x-4)-2(1-2x)]=0
(-x-10)(7x-14)=0
x1=-10, x2=2

9(x-4)^2=4(1-2x)^2
7x^2+56x-140=0
x^2+8x-20=0
(x+10)(x-2)=0
x=2 or -10

用a^2-b^2=(a+b)(a-b)
[3(x-4)+2(1-2x)][3(x-4)-2(1-2x)]=0
(-10-x)(7x-14)=0
x=-10 or x=2
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