Question

若不等式x+2/k＞1+ x-3/k的解是x＞3,求k的值

Answer 1

(x+2)/k>1+(x-3)/k²

k(x+2)>k²+x-3

(k-1)x>k²-2k-3

解是x>3,说明k-1>0,且3(k-1)=k²-2k-3

k²-5k=0,k(k-5)=0,k=5,或k=0

而k-1>0,即k>1,所以k=5

打字不易,