Question

X²一x十14因式分解？

Answer 1

x^2-x+14=x^2-x+1/4-1/4+14
=(x-1/2)^2+55/4
=(x-1/2)^2-55i^2/4
=(x-1/2)^2-（√55i）^2/4
=(x-1/2+√55i/2)(x-1/2-√55i/2)

Answer 2

x²-x+14
因为方程
x²-x+14=0的判别式△=(-1)²-4×1×14
=-55＜0，方程没有实数根，
所以x²-x+14在实数范围内不能分解了。