Question

x^2 - 2/5x + 1/25

Answer 1

It's a perfect square trinomial. Please note that 1/25 = (1/5)^2

Answer 2

x^2 - 2/5x + 1/25 =0, mult by 25
25x^2 - 10x + 1=0,
(5x-1)(5x-1)=0
(5x-1)^2 =0
5x-1=0
x=1/5 double

Answer 3

Just use completing the square,
\[x ^{2}+1/25-2/5x\]
This is same as:
\[a ^{2}-2ab+b ^{2}\]
So, the equation becomes:
\[(x-1/5)^{2}\]
Or the final answer is:
\[(x-1/5)(x-1/5)\]