SOLUTION: 16h^5-25h^3+9h=0

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Question 864322: 16h^5-25h^3+9h=0
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
16h%5E5-25h%5E3%2B9h=0

h%286h%5E4-25h%5E2%2B9%29=0
h= 0 is one solution
%286h%5E4-25h%5E2%2B9%29=0

/6
h%5E4-%2825%2F6%29h%5E2%2B%289%2F6%29=0

let h^2=a
a%5E2-%2825%2F6%29a=+-3%2F2

a%5E2-%2825%2F6%29a%2B%28625%2F144%29+=+%28625%2F144%29-%283%2F2%29

%28a-%2825%2F12%29%29%5E2=%28625-216%29%2F144

%28a-%2825%2F12%29%29=%28625-216%29%2F144
a-%2825%2F12%29=+/-sqrt%28409%2F144%29
a= (25/12)+/- sqrt(409)/12
a=x^2
x^2= (25/12) +/- sqrt(409)/12
calculate x