Question

初三因式分解法的5道题！ 实在不会做

3X平方-12x=-12 4x平方-144=0 3x乘以(X-1)=2(X-1) (2X-1)平方=（3-x）平方 196X平方-1=0写上步骤谢谢了！

Answer 1

1.
3x^2-12x=-12 x^2-4x+4=0 (x-2)^=0 x=2
2.
4x^2-144=0 x^2=36 x=6或-6
3.
3x(x-1)=2(x-1)
x=1时满足等式
当x不等于1时，3x=2 ,x=2/3
所以x=1或2/3
4.
(2x-1)^2=(3-x)^2
2x-1=3-x或2x-1=x-3
得x=4/3或-2
5.
196x^2-1=0
196x^2=1
x^2=1/196
x^2=(1/14）^2
x=1/14或-1/14

Answer 2

3x^2-12x=-12
3(x^2 - 4x + 4)=0
3(x-2)^2 =0

4x^2 - 144=0
4(x^2 - 36) =0
4(x^2 - 6^2) =0
4(x+6)(x-6) =0

3x(x-1)=2(x-1)
3x^2 -5x + 2 =0
(x-1)(3x-2)=0

(2x-1)^2 = (3-x)^2
(2x-1)^2 - (3-x)^2 =0
[(2x-1)+(3-x)][(2x-1)-(3-x)] =0
(x+2)(3x-4)=0

196x^2 - 1 =0
(14x)^2 - 1^2 =0
(14x+1)(14x-1)=0