2x平方减9x加8等于零用配方法解方程求解-搜答案-智慧作业帮

解x²-6x+m=0(x²-6x+9)=9-m(x-3)²=9-m等价于(x-n)²=7∴m=2,n=3∴x²-6x+m=2∴x²-6x+2

4x²-4x+1=0(2x-1)²=0x=1/2

3x²+8x-3=0x²+8x/3-1=0x²+8x/3+16/9-16/9-1=0x²+8x/3+16/9=16/9+1(x+4/3)²=25/9x

3x^2+6x-5=03(x^2+2x+1)=8(x+1)^2=8/3x1=√(8/3)-1x2=-√(8/3)-1

5x²+6x=7x²+6x/5=7/5x²+6x/5+9/25=7/5+9/25(x+3/5)²=44/25x+3/5=±2√11/5x=(-3-2√11)/5

x^2+4X-3=0x^2+4x=3x^2+4x+(4/2)^2=3+(4/2)^2(x+2)^2=3+4=7x+2=±√7x=－2±√7x1=-2+√7x2=-2-√7

2x^2+4x-1=0x^2+2x-1/2=0x^2+2x+1-1-1/2=0(x+1)^2=3/2x+1=±√(3/2)x=-1±√(3/2)

x的平方加3x减4等于0x^2+3x+9/4-4-9/4=0(x+3/2)^2=25/4所以x+3/2=±5/2所以x=1或-4

2x²-2x-3=0x²-x-3/2=0x²-x+(1/2)²-(1/2)²-3/2=0(x-1/2)²=7/4x-1/2=±√7/2x=(

x²+4x+8=2x+11x²+2x=3x²+2x+1=3+1=4(x+1)²=(±2)²x+1=±x=-1±2x=-3,x=1

x^2+3x+2=0x^2+3x+9/4=1/4(x+3/2)^2=1/4x+3/2=正负1/2所以x1=-1,x2=-2.

X²+2X-99=0X²+2X=99两侧同时加上1得：X²+2X+1=99+1X²+2X+1=100(X+1)²=100X+1=±√100X+1=±1

(2x)²-12²=0（2x+12）（2x-12）=04(x+6)(x-6)=0x=-6,x=6

x^2+x-12=0x^2+x+1/4-49/4=0x^2+x+1/4=49/4(x+1/2)^2=49/4x+1/2=±7/2x=3或-4

用配方法解方程:2x²+x-6=02x²+x-6=2(x²+x/2)-6【第一步把二次项系数变为1】=2[(x+1/4)²-1/16]-6【第二步配一次项系数的

4x^2+8x+1=0(2x)^2+4x+1+4x=0(2x+1)^2+4x=0一步步解出来就OK了.

x²+6x+8=0x²+6x+8+1=1（左右同加1）（x+3）²=1x+3=±1x1=-2x2=-4

（x+1）×（x+6）再答：错了，是减号再答：（x-1）（x-6）再问：不对吧再答：再答：第一次错了，换成减号就对了，答案是x等于1或者6再答：(^_^)(^_^)

x^2-4x+1=0x^2-4x+1+3=3(x-2)^2=3x-2=±√3x=2±√3

x^2+x-1=0x^2+x=1(x^2+x+1/4-1/4)=1(x+1/2)^2=5/4x+1/2=±(√5)/2x1=(1+√5)/2x2=(1-√5)/2