已知:pq<0,p²+q²=p²q².化简p√﹙1-1/p²﹚-q√﹙1-1/q²﹚
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/20 06:04:09
![已知:pq<0,p²+q²=p²q².化简p√﹙1-1/p²﹚-q√﹙1-1/q²﹚](/uploads/image/z/11642869-37-9.jpg?t=%E5%B7%B2%E7%9F%A5%EF%BC%9Apq%EF%BC%9C0%2Cp%26%23178%3B%EF%BC%8Bq%26%23178%3B%EF%BC%9Dp%26%23178%3Bq%26%23178%3B.%E5%8C%96%E7%AE%80p%E2%88%9A%EF%B9%991%EF%BC%8D1%EF%BC%8Fp%26%23178%3B%EF%B9%9A%EF%BC%8Dq%E2%88%9A%EF%B9%991%EF%BC%8D1%EF%BC%8Fq%26%23178%3B%EF%B9%9A)
已知:pq<0,p²+q²=p²q².化简p√﹙1-1/p²﹚-q√﹙1-1/q²﹚
已知:pq<0,p²+q²=p²q².化简p√﹙1-1/p²﹚-q√﹙1-1/q²﹚
已知:pq<0,p²+q²=p²q².化简p√﹙1-1/p²﹚-q√﹙1-1/q²﹚
根据pq
p²+q²=p²q²
1/p²+1/q²=1
当p<0 q>0时
p√﹙1-1/p²﹚-q√﹙1-1/q²﹚
=p√1/q²-q√1/p²
=p/q+q/p
当p>0 q<0时
p√﹙1-1/p²﹚-q√﹙1-1/q²﹚
=p√1/q²-q√1/p²
=-p/q-q/p
p²(q²-1)=q²
q²-1= q²/p² ,p²-1= p²/q²
p√﹙1-1/p²﹚-q√﹙1-1/q²)
= ± [√(p² /q²) - √(q²/p²)]
= ± (p/q- q/p)