60/1+k2=64k+64/k4

Question

60/1+k2 =64k+64/k4

Answer 1

60/(k^2+1)=(64k+64)/k^4,
60k^4=(64k+64)(k^2+1),
15k^4=16(k+1)(k^2+1),
3*5*k^4=16(k+1)(k^2+1),
所以k+1=3,
k^2+1=5,
k^4=16,
所以 k=2.
所以方程的解为：k=2.