m^2-3=11m/2

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Solution for m^2-3=11m/2 equation:


m in (-oo:+oo)

m^2-3 = (11*m)/2 // - (11*m)/2

m^2-((11*m)/2)-3 = 0

m^2+(-11/2)*m-3 = 0

m^2-11/2*m-3 = 0

DELTA = (-11/2)^2-(-3*1*4)

DELTA = 169/4

DELTA > 0

m = ((169/4)^(1/2)+11/2)/(1*2) or m = (11/2-(169/4)^(1/2))/(1*2)

m = 6 or m = -1/2

m in { -1/2, 6 }

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