2m²-5m=0,(2m²-5m)÷m²=0÷m²,2-5/m=0,1/m=2/5
1/n²+5/n-2=0,1/n=(-5+√33)/2,1/n=(-5-√33)/2(把1/n看成一个数x,解x²+5x-2=0)
∴1/m+1/n
=2/5+(-5+√33)/2
=(-21+5√33)/10
或1/m+1/n
=2/5+(-5-√33)/2
=(-21-5√33)/10
条件错了吧,第一个应该是2m²-5m-1=0,这样才好做
m,n是方程2x²-5x-1=0的两个根
有m+n=5/2,mn=-1/2
1/m+1/n=(m+n)/mn=-5
题目是已知2m²-5m-1=0
m=-(5+33^0.5)/4或者m=-(5-33^0.5)/4
1/n=(5+33^0.5)/4或者1/n=(5-33^0.5)/4
1/m+1/n=(21+5*33^0.5)/(10+2*33^0.5)
或者1/m+1/n=-6/(5-33^0.5)
或者1/m+1/n=(21-10*33^0.5)/(2*(5-33^0.5))
或者1/m+1/n=(21+5*33^0.5)/(2*(5+33^0.5))
you dian nan
-5