4x-15/x=-17

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Solution for 4x-15/x=-17 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x-(15/x) = -17 // + 17

4*x-(15/x)+17 = 0

4*x-15*x^-1+17 = 0

4*x^1-15*x^-1+17*x^0 = 0

(4*x^2+17*x^1-15*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2+17*x^1-15*x^0) = 0

x^1

4*x^2+17*x-15 = 0

4*x^2+17*x-15 = 0

DELTA = 17^2-(-15*4*4)

DELTA = 529

DELTA > 0

x = (529^(1/2)-17)/(2*4) or x = (-529^(1/2)-17)/(2*4)

x = 3/4 or x = -5

x in { -5, 3/4} 

x in { -5, 3/4 }

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