3/34(x^2)-3/2x=45/4

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Solution for 3/34(x^2)-3/2x=45/4 equation: 


x in (-oo:+oo)

(3/34)*x^2-((3/2)*x) = 45/4 // - 45/4

(3/34)*x^2-((3/2)*x)-(45/4) = 0

(3/34)*x^2+(-3/2)*x-45/4 = 0

3/34*x^2-3/2*x-45/4 = 0

DELTA = (-3/2)^2-(-45/4*3/34*4)

DELTA = 423/68

DELTA > 0

x = ((423/68)^(1/2)+3/2)/(3/34*2) or x = (3/2-(423/68)^(1/2))/(3/34*2)

x = 17/3*((423/68)^(1/2)+3/2) or x = 17/3*(3/2-(423/68)^(1/2))

x in { 17/3*(3/2-(423/68)^(1/2)), 17/3*((423/68)^(1/2)+3/2) }

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