化简求值

1⼀{x-4}+4⼀{x-1}=2⼀{x-3}+3⼀{x-2}
2025-03-20 22:44:29
推荐回答(1个)
回答1:

1/(X-4)+4/(X-1)=2/(X-3)+3/(x-2)

1/(x-4)-2/(x-3)=3/(x-2)-4/(x-1)

[(x-3)-2(x-4)]/(x-4)(x-3)=[3(x-1)-4(x-2)]/(x-2)(x-1)

(5-x)/(x^2-7x+12)=(5-x)/(x^2-3x+2)

(1):5-x=0
x=5

(2):x^2-7x+12=x^2-3x+2
x=2.5

即方程的解是:X1=5,X2=2。5