m^2-9/2m=3/2

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Solution for m^2-9/2m=3/2 equation: 


m in (-oo:+oo)

m^2-((9/2)*m) = 3/2 // - 3/2

m^2-((9/2)*m)-(3/2) = 0

m^2+(-9/2)*m-3/2 = 0

m^2-9/2*m-3/2 = 0

DELTA = (-9/2)^2-(-3/2*1*4)

DELTA = 105/4

DELTA > 0

m = ((105/4)^(1/2)+9/2)/(1*2) or m = (9/2-(105/4)^(1/2))/(1*2)

m = ((105/4)^(1/2)+9/2)/2 or m = (9/2-(105/4)^(1/2))/2

m in { (9/2-(105/4)^(1/2))/2, ((105/4)^(1/2)+9/2)/2 }

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