2x^+3x-1在实数范围内因式分解怎么做
问题描述:
2x^+3x-1在实数范围内因式分解怎么做
答
原式=2(x²+3x/2-1/2)
=2(x²+3x/2+9/16-9/16-1/2)
=2[(x+3/4)²-17/16]
=2[(x+3/4)²-(√17/4)²]
=2(x+3/4+√17/4)(x+3/4-√17/4)