x-3=28/x

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Solution for x-3=28/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-3 = 28/x // - 28/x

x-(28/x)-3 = 0

x-28*x^-1-3 = 0

1*x^1-28*x^-1-3*x^0 = 0

(1*x^2-3*x^1-28*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-3*x^1-28*x^0) = 0

x^1

x^2-3*x-28 = 0

x^2-3*x-28 = 0

DELTA = (-3)^2-(-28*1*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)+3)/(1*2) or x = (3-121^(1/2))/(1*2)

x = 7 or x = -4

x in { -4, 7} 

x in { -4, 7 }

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