x/4-3/x=-1/4

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Solution for x/4-3/x=-1/4 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/4-(3/x) = -1/4 // + -1/4

x/4-(3/x)-(-1/4) = 0

x/4-3*x^-1+1/4 = 0

1/4*x^1-3*x^-1+1/4*x^0 = 0

(1/4*x^2+1/4*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(1/4*x^2+1/4*x^1-3*x^0) = 0

x^1

(1/4)*x^2+(1/4)*x-3 = 0

(1/4)*x^2+(1/4)*x-3 = 0

DELTA = (1/4)^2-(-3*4*(1/4))

DELTA = 49/16

DELTA > 0

x = ((49/16)^(1/2)-(1/4))/(2*(1/4)) or x = (-(1/4)-(49/16)^(1/2))/(2*(1/4))

x = 3 or x = -4

x in { -4, 3} 

x in { -4, 3 }

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