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

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Question 543613: x^2-2/5x+1/25
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I notice that +1%2F25+=+%281%2F5%29%5E2+
If I say +a+=+1%2F5+ ,then I have
+x%5E2+-+2a%2Ax+%2B+a%5E2+
+%28+x+-+a+%29%5E2+
There are 2 identical roots, +x+=+a+ and
since +a+=+1%2F5+,
+x+=+1%2F5+
check answer:
+x%5E2+-+%282%2F5%29%2Ax+%2B+%281%2F5%29%5E2+=+0+
+%281%2F5%29%5E2+-+%282%2F5%29%2A%281%2F5%29+%2B+%281%2F5%29%5E2+=+0+
+1%2F25+-+2%2F25+%2B+1%2F25+=+0+
+2%2F25+-+2%2F25+=+0+
+2%2F25+=+2%2F25+
OK