3x^2-27=1/3x-1

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Solution for 3x^2-27=1/3x-1 equation:


x in (-oo:+oo)

3*x^2-27 = (1/3)*x-1 // - (1/3)*x-1

3*x^2-((1/3)*x)-27+1 = 0

3*x^2+(-1/3)*x-27+1 = 0

3*x^2-1/3*x-26 = 0

DELTA = (-1/3)^2-(-26*3*4)

DELTA = 2809/9

DELTA > 0

x = ((2809/9)^(1/2)+1/3)/(2*3) or x = (1/3-(2809/9)^(1/2))/(2*3)

x = 3 or x = -26/9

x in { -26/9, 3 }

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