x=15/x+1/4

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Solution for x=15/x+1/4 equation: 


D( x )

x = 0

x = 0

x = 0

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

x = 15/x+1/4 // - 15/x+1/4

x-(15/x)-(1/4) = 0

x-15*x^-1-1/4 = 0

1*x^1-15*x^-1-1/4*x^0 = 0

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

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

x^1

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

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

DELTA = (-1/4)^2-(-15*1*4)

DELTA = 961/16

DELTA > 0

x = ((961/16)^(1/2)-(-1/4))/(1*2) or x = (-(-1/4)-(961/16)^(1/2))/(1*2)

x = 4 or x = -15/4

x in { -15/4, 4} 

x in { -15/4, 4 }

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