Question 155597
Solve by completing the square
m^2-1/2m=7/2
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m^2 -(1/2)m + (1/4)^2 = (7/2) + (1/4)^2

(m - (1/4))^2 = 56/16+1/16

(m - (1/4)) = +-(1/4)sqrt(57)

m = (1/4)+(1/4)sqrt(57) or m = (1/4)-(1/4)sqrt(57)
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Cheers,
Stan H.