x^2-(5/3)x=1

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Solution for x^2-(5/3)x=1 equation: 


x in (-oo:+oo)

x^2-((5/3)*x) = 1 // - 1

x^2-((5/3)*x)-1 = 0

x^2+(-5/3)*x-1 = 0

x^2-5/3*x-1 = 0

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

DELTA = 61/9

DELTA > 0

x = ((61/9)^(1/2)+5/3)/(1*2) or x = (5/3-(61/9)^(1/2))/(1*2)

x = ((61/9)^(1/2)+5/3)/2 or x = (5/3-(61/9)^(1/2))/2

x in { (5/3-(61/9)^(1/2))/2, ((61/9)^(1/2)+5/3)/2 }

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