(1/54x^2)-(1/45x)=54

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Solution for (1/54x^2)-(1/45x)=54 equation:


x in (-oo:+oo)

(1/54)*x^2-((1/45)*x) = 54 // - 54

(1/54)*x^2-((1/45)*x)-54 = 0

(1/54)*x^2+(-1/45)*x-54 = 0

1/54*x^2-1/45*x-54 = 0

DELTA = (-1/45)^2-(-54*1/54*4)

DELTA = 8101/2025

DELTA > 0

x = ((8101/2025)^(1/2)+1/45)/(1/54*2) or x = (1/45-(8101/2025)^(1/2))/(1/54*2)

x = 27*((8101/2025)^(1/2)+1/45) or x = 27*(1/45-(8101/2025)^(1/2))

x in { 27*(1/45-(8101/2025)^(1/2)), 27*((8101/2025)^(1/2)+1/45) }

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