2x的平方加x减6等于0-搜答案-智慧作业帮

应该是x^2-2x+y^2+6y+10=0配方：x^2-2x+1+y^2+6y+9=0(x-1)^2+(y+3)^2=0得x=1y=-3所以x+y=-2

x^2-2x+y^2+6y+10=0(x-1)^2+(y+3)^2=0(x-1)^2=0x-1=0x=1(y+3)^2=0y+3=0y=-3x+y=1-3=-2

x^2+6x-1=0用求根公式x=(-6±√36+4)/2x=-3±√10

由题意得x²+2x-1=0所以x²+2x=1所以原式=3x²+6x+4=3(x²+2x)+4=3*1+4=7

x³＋2x²－5x＋2=0x³－x²＋3x²－5x＋2=0x²﹙x－1﹚＋﹙x－1﹚﹙3x－2﹚=0﹙x－1﹚﹙x²＋3x－2﹚=

x^2+2x+y^2-6y+10=0=(x^2+2x+1)+(y^2-6y+9)=0=(x+1)^2+(y^2-6y+3^2)=0=(x+1)^2+(y-3)^2=0x=-1y=3xy=-3

x^2-6x+9=(5-2x)^2x^2-6x+9=4x^2-10x+253x^2-4x+16=0x^2-4x/3+16/3=0(x-4/6)^2+16/3-16/36=0∵16/3-16/36>0∴

x的平方减去3x加1等于0求2x的平方减去6x加3x²-3x+1=0两边同乘以2得：2x²-6x+2=0两侧同加上1得：2x²-6x+3=1所以：2x²-6x+

x^2-2x+y^2+6y+10=0x^2-2x+1+y^2+6y+9=0(x-1)^2+(y+3)^2=0x-1=0,y+3=0x=1,y=-3(x-y)/(x+y)=4/(-2)=-2

第一个方程用十字相乘算出x=1,x=2代入第二个要求的方程,算一下38和154

x^2-3x+1=0x+1/x=(x^2+1)/x=(x^2-3x+1+3x)/x=(0+3x)/x=3x^2+1/x^2=(x+1/x)^2-2=3^2-2=7

2x^2+6x-20/(x^2+3x)=182(x^2+3x)-20/(x^2+3x)=18令a=x^2+3x且a≠0得2a-20/a=182a^2-18a-20=0(2a-20)(a+1)=0a=1

解题思路：利用一元二次方程根的判别式求解。解题过程：解：∵x2-2x+4=0∴△=（-2）2-4×1×4=4-16=-12<0∴此方程无解最终

x^2+2xy+y^2=25===>(x+y)^2=5^2===>x+y=±5(x-y)^2-3x+3y+2=0===>(x-y)^2-3(x-y)+2=0===>[(x-y)-1]*[(x-y)-2

Δ=36-4=32x=2分之（6加减4根号2）x=3加减2根号2

问题求什么?再问：求x加y的值再答：x^2-2x+1+y^2-6y+9=0(x-1)^2+(y-3)^2=0x=1y=32x+3y=11

(x-3)²+4x(x-3)=0(x-3)[(x-3)+4x]=0(x-3)(5x-3)=0x1=3,x2=3/59(x-2)²=4(x+1)²3(x-2)=2(x+1)

2x²-3x+6=0∵a=2,b=-3,c=6b²-4ac=(-3)²-4×2×6=9-48=-39＜0∴原方程无实数根.

4

x²+2x-2=0x²+2x+1=2+1（x+1）²=3x+1=±√3x=±√3-1x1=√3-1x2=-√3-1