How can I complete the square for this problem..

Question

anonymous · Answer

$$x ^{10} - \frac{ 1 }{ 2 } + \frac{ 1 }{ 16x ^{10} }$$

anonymous · Answer

is there a certain method to use to make it easier?

hartnn · Answer

just for convenience, firstly, you can take 
$x^{10} = y$

hartnn · Answer

$y - \dfrac{1}{2} +\dfrac{1}{16y}$

does this atleast make it "look" easier to solve? :)

mathmale · Answer

Hint:  multiply every term in hartnn's last result by (y/y) (yes, that's y over y).

anonymous · Answer

thank you! i will try the problem now

hartnn · Answer

let us know if you get stuck :)
if not, let us know your final answer so that we can verify :)

anonymous · Answer

i will, thank you!

anonymous · Answer

So far I have

$$y+\frac{ 1 }{ 16y } + \frac{ 1 }{ 1024 }=\frac{ 1 }{ 2 }+ \frac{ 1 }{ 1024 }$$

am i on the right track?

hartnn · Answer

$\color{#0cbb34}{\text{Originally Posted by}}$ @mathmale
Hint:  multiply every term in hartnn's last result by (y/y) (yes, that's y over y).
$\color{#0cbb34}{\text{End of Quote}}$

have you tried this?
This is for making a common denominator!
better if you try to make each of the denominator as `16y`

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