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

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


x in (-oo:+oo)

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

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

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

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

DELTA = 7/3

DELTA > 0

x = ((7/3)^(1/2)+1)/(1/3*2) or x = (1-(7/3)^(1/2))/(1/3*2)

x = 3/2*((7/3)^(1/2)+1) or x = 3/2*(1-(7/3)^(1/2))

x in { 3/2*(1-(7/3)^(1/2)), 3/2*((7/3)^(1/2)+1) }

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