SOLUTION: Solve the quadratic equation by completing the square: m^2-1/2m=7/2

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Question 317296: Solve the quadratic equation by completing the square:
m^2-1/2m=7/2
Found 2 solutions by checkley77, nerdybill:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
m^2-1/2m=7/2
m^2-m/2+1/16=3.5+1/16
(m-1/4)^2=3.5+.0625
m-1/4=sqrt3.5625
m-1/4=1.887
m=1.887+.25
m=2.137 ans.

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the quadratic equation by completing the square:
m%5E2-%281%2F2%29m=7%2F2
We need to add a term to complete square:
m%5E2-%281%2F2%29m+%2B+___+=+7%2F2+%2B+___
The term is %28%281%2F2%29b%29%5E2 = %28%281%2F2%29%281%2F2%29%29%5E2 = %281%2F4%29%5E2 = 1%2F16
m%5E2-%281%2F2%29m+%2B+%281%2F16%29+=+7%2F2+%2B+%281%2F16%29
Factoring the left:
+%28m-%281%2F4%29%29%28m-%281%2F4%29%29+=+7%2F2+%2B+%281%2F16%29
+%28m-%281%2F4%29%29%5E2+=+7%2F2+%2B+%281%2F16%29
+%28m-%281%2F4%29%29%5E2+=+56%2F16+%2B+1%2F16
+%28m-%281%2F4%29%29%5E2+=+57%2F16
+m-%281%2F4%29+=+sqrt%2857%2F16%29
+m+=+sqrt%2857%2F16%29+%2B+%281%2F4%29
+m+=+sqrt%2857%29%2F4+%2B+1%2F4
+m+=+%28sqrt%2857%29%2B1%29%2F4
+m+=+2.1375