2/3x^2+1/4x=3

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Solution for 2/3x^2+1/4x=3 equation: 


x in (-oo:+oo)

(2/3)*x^2+(1/4)*x = 3 // - 3

(2/3)*x^2+(1/4)*x-3 = 0

2/3*x^2+1/4*x-3 = 0

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

DELTA = 129/16

DELTA > 0

x = ((129/16)^(1/2)-1/4)/(2/3*2) or x = (-(129/16)^(1/2)-1/4)/(2/3*2)

x = 3/4*((129/16)^(1/2)-1/4) or x = -3/4*((129/16)^(1/2)+1/4)

x in { -3/4*((129/16)^(1/2)+1/4), 3/4*((129/16)^(1/2)-1/4) }

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