25/x-x=15x

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Solution for 25/x-x=15x equation: 


D( x )

x = 0

x = 0

x = 0

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

25/x-x = 15*x // - 15*x

25/x-x-(15*x) = 0

25/x-x-15*x = 0

25*x^-1-16*x^1 = 0

(25*x^0-16*x^2)/(x^1) = 0 // * x^2

x^1*(25*x^0-16*x^2) = 0

x^1

25-16*x^2 = 0

25-16*x^2 = 0

DELTA = 0^2-(-16*4*25)

DELTA = 1600

DELTA > 0

x = (1600^(1/2)+0)/(-16*2) or x = (0-1600^(1/2))/(-16*2)

x = -5/4 or x = 5/4

x in { -5/4, 5/4} 

x in { -5/4, 5/4 }

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