2x^2-5/2x-3=0.5

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Solution for 2x^2-5/2x-3=0.5 equation: 


x in (-oo:+oo)

2*x^2-((5/2)*x)-3 = 0.5 // - 0.5

2*x^2-((5/2)*x)-3-0.5 = 0

2*x^2+(-5/2)*x-3-0.5 = 0

2*x^2-5/2*x-3.5 = 0

DELTA = (-5/2)^2-(-3.5*2*4)

DELTA = 137/4

DELTA > 0

x = ((137/4)^(1/2)+5/2)/(2*2) or x = (5/2-(137/4)^(1/2))/(2*2)

x = ((137/4)^(1/2)+5/2)/4 or x = (5/2-(137/4)^(1/2))/4

x in { (5/2-(137/4)^(1/2))/4, ((137/4)^(1/2)+5/2)/4 }

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