x/4-4=3/x-6

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Solution for x/4-4=3/x-6 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/4-4 = 3/x-6 // - 3/x-6

x/4-(3/x)-4+6 = 0

x/4-3*x^-1-4+6 = 0

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

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

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

x^1

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

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

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

DELTA = 7

DELTA > 0

x = (7^(1/2)-2)/(2*(1/4)) or x = (-7^(1/2)-2)/(2*(1/4))

x = 2*(7^(1/2)-2) or x = -2*(7^(1/2)+2)

x in { -2*(7^(1/2)+2), 2*(7^(1/2)-2)} 

x in { -2*(7^(1/2)+2), 2*(7^(1/2)-2) }

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