SOLUTION: Factored x^2-1x+1/2

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Question 1147963: Factored x^2-1x+1/2
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x%5E2+-+x+%2B+1%2F2+
Use the quadratic formula
+x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
+x+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2+-+4%2A1%2A%281%2F2%29+%29%29%2F%282%2A1%29+
+x+=+%28+1+%2B-+sqrt%28+1+-+2+%29%29+%2F+2+
+x%5B1%5D+=+%28+1+%2B+i+%29%2F2+
+x%5B2%5D+=+%28+1+-+i+%29%2F2+
+%28+x+-+%28+1+-+i+%29%2F2+%29%2A%28+x+-+%28+1+%2B+i+%29%2F2+%29+
This seems to check out


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Factored x^2-1x+1/2
Factored x^2-1x+1/2


You can COMPLETE the SQUARE

x%5E2+-+x+%2B+%28%281%2F2%29%28-+1%29%29%5E2+-+%28%281%2F2%29%28-+1%29%29%5E2+%2B+1%2F2 ----- Taking 1%2F2 of b, ADDING it, and then SUBTRACTING it, so the quadratic expression will not be compromised

x%5E2+-+x+%2B+%28-+1%2F2%29%5E2+-+%28-+1%2F2%29%5E2+%2B+1%2F2

%28x+-+1%2F2%29%5E2+-+1%2F4+%2B+1%2F2