x/2x-5=x+3/2x-1

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Solution for x/2x-5=x+3/2x-1 equation:


x in (-oo:+oo)

(x/2)*x-5 = x+(3/2)*x-1 // - x+(3/2)*x-1

(x/2)*x-x-((3/2)*x)-5+1 = 0

(x/2)*x-x+(-3/2)*x-5+1 = 0

1/2*x^2-5/2*x-4 = 0

DELTA = (-5/2)^2-(-4*1/2*4)

DELTA = 57/4

DELTA > 0

x = ((57/4)^(1/2)+5/2)/(1/2*2) or x = (5/2-(57/4)^(1/2))/(1/2*2)

x = (57/4)^(1/2)+5/2 or x = 5/2-(57/4)^(1/2)

x in { 5/2-(57/4)^(1/2), (57/4)^(1/2)+5/2 }

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