2x^2+1=11x/3

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Solution for 2x^2+1=11x/3 equation: 


x in (-oo:+oo)

2*x^2+1 = (11*x)/3 // - (11*x)/3

2*x^2-((11*x)/3)+1 = 0

2*x^2+(-11/3)*x+1 = 0

2*x^2-11/3*x+1 = 0

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

DELTA = 49/9

DELTA > 0

x = ((49/9)^(1/2)+11/3)/(2*2) or x = (11/3-(49/9)^(1/2))/(2*2)

x = 3/2 or x = 1/3

x in { 1/3, 3/2 }

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