已知x^2-3x+2=0,求代数式x^4-3x^2+4⼀x的值

2025-03-23 09:39:16
推荐回答(2个)
回答1:

x^2-3x+2=0
(x-1)(x-2)=0
x=1 or 2

case 1: x=1
(x^4-3x^2+4)/x
=(1-3+4)/1
=2

case 2: x=2
(x^4-3x^2+4)/x
=(16-12+4)/2
=4

ie
(x^4-3x^2+4)/x = 2 or 4

回答2:

解:
∵x^2-3x+2=0
(x-1)(x-2)=0
x=1 或 x2

当 x=1时,
(x^4-3x^2+4)/x
=(1-3+4)/1
=2

当 x=2时,
(x^4-3x^2+4)/x
=(16-12+4)/2
=4