(5/3)x^2-x=(4/3)

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Solution for (5/3)x^2-x=(4/3) equation: 


x in (-oo:+oo)

(5/3)*x^2-x = 4/3 // - 4/3

(5/3)*x^2-x-(4/3) = 0

(5/3)*x^2-x-4/3 = 0

5/3*x^2-x-4/3 = 0

DELTA = (-1)^2-(-4/3*5/3*4)

DELTA = 89/9

DELTA > 0

x = ((89/9)^(1/2)+1)/(5/3*2) or x = (1-(89/9)^(1/2))/(5/3*2)

x = 3/10*((89/9)^(1/2)+1) or x = 3/10*(1-(89/9)^(1/2))

x in { 3/10*(1-(89/9)^(1/2)), 3/10*((89/9)^(1/2)+1) }

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