x^2-3x+9/4=6

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Solution for x^2-3x+9/4=6 equation: 


x in (-oo:+oo)

x^2-(3*x)+9/4 = 6 // - 6

x^2-(3*x)+9/4-6 = 0

x^2-3*x+9/4-6 = 0

x^2-3*x-15/4 = 0

DELTA = (-3)^2-(-15/4*1*4)

DELTA = 24

DELTA > 0

x = (24^(1/2)+3)/(1*2) or x = (3-24^(1/2))/(1*2)

x = (2*6^(1/2)+3)/2 or x = (3-2*6^(1/2))/2

x in { (3-2*6^(1/2))/2, (2*6^(1/2)+3)/2 }

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