(x-x 1分1) (1 x的平方-1分之1),其中x=根号2 1
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猜想:二次方程的两根之和=-b/a;两根之积=c/a(其中a,b,c为二次函数ax^2+bx+c=0的系数)再问:能证明吗?再答:能啊对于二次函数ax^2+bx+c=0来说,在b^2-4ac>=0的条
x1,x2是x²+(2-M)x+(1+M)=0的两个根x1+x2=M-2x1x2=1+Mx1²+x2²>=2x1x2=2(1+M)当且仅当x1=x2时,有最小值.即根的判
/>x1,x2是方程2x²-3x-1=0的根,则x1满足方程2x1²-3x1-1=0另由韦达定理,得x1+x2=3/2x1x2=-1/2N=3x1²+x2²-3
x1+x2=-(m+1)x1x2=m²+m-83x1=x2(x1-3)得3(x1+x2)=x1x2即-3(m+1)=m²+m-8m²+4m-5=0得m=1或m=-5当m=
x1+x2=5x1x2=31/x1+1/x2=(x1+x2)/(x1x2)=5/3x1²+x2²=(x1+x2)²-2x1x2=19
易知x1+x2=7/3,x1x2=2/3,所以(X1+2)(X2+2)=28/3Ⅰx1^2-x^2Ⅰ=(x1+x^2)^2-2x1x2=49/9-4/3=37/9再问:第二题不对吧??再答:我一般做的
△=4(k+1)²-4(k²-1)≥0解得:k≥-1根据韦达定理x1+x2=-2(k+1)x1*x2=k²-1x1²+x2²=(x1+x2)²
X1+X2=-B/A=2X1*X2=C/A=1/2求得X1=1+根号2或者X1=1-根号2从而求出X2的值X1/X2+X2/X1=(X1*X1+X2*X2)/(X1X2)=6
∵⊿=2²-4×1×﹙-1﹚=8>0∴方程有两不等的实根∵x1<x2∴x1-x2=-√﹙x1-x2﹚²=-√[﹙x1+x2﹚²-4x1x2]=√[﹙-2﹚²-4
由韦达定理x1+x2=3x1x2=1x1²+x2²=(x1+x2)²-2x1x2=3²-2*1=7
X的平方-3X+1=0的两个实数根是X1,X2X1+X2=3X1X2=1(X1-X2)^2=(X1+X2)^2-4X1X2=3^2-4=5X1-X2=正负根号5
x-x+3=0所以x1+x2=1,x1x2=3因此(1)(X1+2)(X2+2)=x1x2+2(x1+x2)+4=3+2x1+4=9(2)(X1-X2)=(x1+x2)-4x1x2=1-4x3=-11
3x^2+4x-7=0由韦达到理得:x1+x2=-4/3、x1x2=-7/3.x1^2+x2^2=(x1+x2)^2-2x1x2=16/9+14/3=58/9.1/x1^2+1/x2^2=(x1^2+
x1,x2是方程的两根则x1+x2=5/2,x1*x2=1/2(x1-1)^2+(x2-1)^2=x1^2+x2^2-2(x1+x2)+2=(x1+x2)^2-2x1*x2-2(x1+x2)+2=(5
答案选4=(1+2006X1+X1的平方+2X1)(1+2006X2+X2的平方+2X2)=(0+2X1)(0+2X2)=4x1x2=4
x^2+3x+1=0x1+x2=-3,x1x2=1,x1
已知X1X2为方程5X平方-3X-1=0两个根;所以x1+x2=3/5;x1x2=-1/5;x1-x2=√(x1-x2)²=√[(x1+x2)²-4x1x2]=√(9/25+4/5
x^2-2x-1=0的两个实数根为x1,x2根据韦达定理,知x1+x2=2x1x2=-1则(x1-1)(x2-1)=x1x2-x1-x2+1=-1-(x1+x2)+1=-1-2+1=-2
x1+x2=4x1x2=-1(x1+x2)^2/(1/x1+1/x2)=(x1+x2)^2*x1x2/(x1+x2)=x1x2*(x1+x2)=-4
利用两根之积等于c/a两根之和等于-b/a(1)(x1+x2)的平方=x1的平方+x2的平方+2x1x2=25/4x1xx2=-7/2所以x1的平方+x2的平方=53/4(2)x2/x1+x1/x2=