x²-(2k+3)x+k²+3k+2=0这方程怎么解?

问题描述:

x²-(2k+3)x+k²+3k+2=0这方程怎么解?

解:x²-(2k 3) k² 3k 2=0
x²-(k 1 k 2)x (k 1)(k 2)=0
(x-k-1)(x-k-2)=0
x=k 1或x=k 2
原方程的解为{k 1,k 2}

x²-(2k+3)x+k²+3k+2=0这方程怎么解?
x²-(2k+3)x+(k+1)(k+2)=[x-(k+1)][x-(k+2)]=0
故x₁=k+1;x₂=k+2.

x²-(2k+3)x+k²+3k+2=0
→x²-[(k+1)+(k+2)]x+(k+1)(k+2)=0
→[x-(k+1)][x-(k+2)]=0
∴x1=k+1, x2=k+2.

十字相乘,- (k 1),,,-(k 2)。。。