1/x-3+4/5x-15

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Solution for 1/x-3+4/5x-15 equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(4/5)*x+1/x-15-3 = 0

4/5*x^1+1*x^-1-18*x^0 = 0

(4/5*x^2-18*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(4/5*x^2-18*x^1+1*x^0) = 0

x^1

(4/5)*x^2-18*x+1 = 0

(4/5)*x^2-18*x+1 = 0

DELTA = (-18)^2-(1*4*(4/5))

DELTA = 1604/5

DELTA > 0

x = ((1604/5)^(1/2)+18)/(2*(4/5)) or x = (18-(1604/5)^(1/2))/(2*(4/5))

x = 5/8*((1604/5)^(1/2)+18) or x = 5/8*(18-(1604/5)^(1/2))

x in { 5/8*(18-(1604/5)^(1/2)), 5/8*((1604/5)^(1/2)+18)}

x in { 5/8*(18-(1604/5)^(1/2)), 5/8*((1604/5)^(1/2)+18) }

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