用因式分解法解下列方程(过程要详细)⑴ 2x²+5x=0 ⑵(y-1)(y+3)=-4⑶x(x-2)=4-x² ⑷√3x(x-1)-√2(x-1)=0⑸4(x-1)²=25(x+1)² ⑹√2x(x+1)=x+1⑺x²-9 =1/2(x²-6x+9)

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用因式分解法解下列方程(过程要详细)⑴ 2x²+5x=0 ⑵(y-1)(y+3)=-4⑶x(x-2)=4-x² ⑷√3x(x-1)-√2(x-1)=0⑸4(x-1)²=25(x+1)² ⑹√2x(x+1)=x+1⑺x²-9 =1/2(x²-6x+9)

用因式分解法解下列方程(过程要详细)⑴ 2x²+5x=0 ⑵(y-1)(y+3)=-4⑶x(x-2)=4-x² ⑷√3x(x-1)-√2(x-1)=0⑸4(x-1)²=25(x+1)² ⑹√2x(x+1)=x+1⑺x²-9 =1/2(x²-6x+9)
用因式分解法解下列方程(过程要详细)
⑴ 2x²+5x=0 ⑵(y-1)(y+3)=-4
⑶x(x-2)=4-x² ⑷√3x(x-1)-√2(x-1)=0
⑸4(x-1)²=25(x+1)² ⑹√2x(x+1)=x+1
⑺x²-9 =1/2(x²-6x+9)

用因式分解法解下列方程(过程要详细)⑴ 2x²+5x=0 ⑵(y-1)(y+3)=-4⑶x(x-2)=4-x² ⑷√3x(x-1)-√2(x-1)=0⑸4(x-1)²=25(x+1)² ⑹√2x(x+1)=x+1⑺x²-9 =1/2(x²-6x+9)
1)左边=x(2x+5)=0,x=0或2x+5=0,x=-5/2
2)左边-右边=y^2+2y+1=(y+1)^2=0,y=-1
3)右边=(2+x)(2-x),x=2是一个解,或者两边约分,-x=2+x,x=-1
4)左边=(x-1)(√3x-√2)=0,x=1,或x=√6/3
5)左边-右边用平方差=(7x+3)(-3x-7),x=-7/3或-3/7
6)(√2x-1)(x+1)=0,x=-1或x=√2/2
7)左边-右边=(x-3)(x+3-1/2(x-3))=(x-3)(1/2x+9/2)=0,x=3或x=-9