设P点的坐标为(x,y),则其满足x2/16-y2/9=1
∴由x2/16-y2/9=1
y^2=9x^2/16 -9 ①
由题意得,√[(x-5)^2+y^2] =6 ②
将①代入②,得(x-5)^2+ 9x^2/16 -9=36
整理得,5x^2-32x-64=0
解得,x1=8,x2=- 8/5
y1=±3√3 ,y2 ^2=- 189/25(舍去)
∴点P的坐标是(8,±3√3)
设P点的坐标为(x,y),则其满足x2/16-y2/9=1
∴由x2/16-y2/9=1
y^2=9x^2/16 -9 ①
由题意得,√[(x-5)^2+y^2] =6 ②
将①代入②,得(x-5)^2+ 9x^2/16 -9=36
整理得,5x^2-32x-64=0
解得,x1=8,x2=- 8/5
y1=±3√3 ,y2 ^2=- 189/25(舍去)
∴点P的坐标是(8,±3√3)