1.已知x+1/x=4,求x²+1/x²和(x-1/x)²的值 2.已知x²+3x1.已知x+1/x=4,求x²+1/x²和(x-1/x)²的值2.已知x²+3x-1=0,求x+1/x的值

1.已知x+1/x=4,求x²+1/x²和(x-1/x)²的值 2.已知x²+3x1.已知x+1/x=4,求x²+1/x²和(x-1/x)²的值2.已知x²+3x-1=0,求x+1/x的值
1.已知x+1/x=4,求x²+1/x²和(x-1/x)²的值 2.已知x²+3x
1.已知x+1/x=4,求x²+1/x²和(x-1/x)²的值
2.已知x²+3x-1=0,求x+1/x的值

1.已知x+1/x=4,求x²+1/x²和(x-1/x)²的值 2.已知x²+3x1.已知x+1/x=4,求x²+1/x²和(x-1/x)²的值2.已知x²+3x-1=0,求x+1/x的值
1.x+1/x=4
两边平方,x²+1/x²+2=16
x²+1/x²=14
(x-1/x)²=(x+1/x)²-4=16-4=12
2.x²+3x-1=0
x²-1=3x
x-1/x=3
两边平方
x²+1/x²-2=9
x²+1/x²=11
(x+1/x)²=x²+1/x²+2=11+2=13
x+1/x=±根号13