X+9/x=6,then x2+9/x2=?

Question

#x+9/x=6,"then "x^2+9/x^2=?#

7629 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-20T09:05:08

# 10#.

Given that, #x+9/x=6#.

# rArr (x^2+9)/x=6, or, x^2-6x+9=0#.

# rArr (x-3)^2=0#.

# rArr x=3#.

# rArr x^2+9/x^2=3^2+9/3^2=9+1=10#.