x-3/x=4

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Solution for x-3/x=4 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

x-(3/x)-4 = 0

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

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

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

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

x^1

x^2-4*x-3 = 0

x^2-4*x-3 = 0

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

DELTA = 28

DELTA > 0

x = (28^(1/2)+4)/(1*2) or x = (4-28^(1/2))/(1*2)

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

x in { (4-2*7^(1/2))/2, (2*7^(1/2)+4)/2} 

x in { (4-2*7^(1/2))/2, (2*7^(1/2)+4)/2 }

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