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

x = 5 or x = -3/4

x in { -3/4, 5} 

x in { -3/4, 5 }

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