分解因式 X^2 6X 7=0
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令(x-3)(x-m)=x-px-6则有3m=-63+m=p所以m=-2,p=1验证x-x-6=(x-3)(x+2)
(x+3)(x-3)
(1)x^2-2√5x+2=0x^2-2√5+5-3=0(x-√5)^2-3=0(x-√5-√3)(x-√5+√3)=0x-√5-√3=0或x-√5+√3=0x=-√5±√3x=+√5+√3或√5-√
(x²-5)(x²-1)=0(x+√5)(x-√5)(x+1)(x-1)=0x=-√5,x=√5,x=-1,x=1
2x²-6x=0x²-3x=0x(x-3)=0x=0或x=3
原式等于:(2x-3+3x-2)(2x-3-3x+2)=-5(x-1)(x+1)=5-5x^2
4X-1=05X+7=0X1=1/4X2=-7/5
(x-1)^2-2=0x1=根号2+1x2=-根号2+1
2(x-3)=x²-9(x²-9)-2(x-3)=0(x-3)(x+3)-2(x-3)=0(x-3)[(x+3)-2]=0(x-3)(x+1)=0x-3=0或x+1=0x1=3x2
2x²-4x-5=0x²-2x-5/2=0x²-2x+1-7/2=0(x-1)²-7/2=0(x-1+√14/2)(x-1-√14/2)=0x1=1-√14/2
(x+3)(3x-1)=0所以x=-3或x=1/3
配方再问:用因式分解法分解再答:x2+2x+1-3-1=0所以(x+1)2=4所以x+1=+-2所以x=-3或x=1
2x²-x+6=(x-2)(2x+3)2x²-x+6=0(x-2)(2x+3)=0x=2x=-3/2
(x-2)(3x+1)=0十字相乘法
X(3X-5)=0X=0或3X-5=0X1=0,X2=5/3.
(4x-1)(5x+7)=0x1=1/4x2=-7/5如果本题有什么不明白可以追问,请及时点击右下角的【好评】按钮再问:过程再答:已经因式分解了,直接写根就可以了
3x²-7x=0x(3x-7)=0x=0或x=7/3
(1)X^2+2X+1-3X-3+2=0X^2-X=0X(X-1)=0X=O,X=1(2)X^2-3X-2X+6=12X^2-5X-6=0(X-6)(X+1)=0X=6,X=-1
分解因式,求出x的值:x⁴-10x²-x+20=0我们用待定系数法求解.设x⁴-10x²-x+20=(x²+ax+b)(x²+cx+d)
再问:x³-4x=再答: