28x-33=28/x

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Solution for 28x-33=28/x equation: 


D( x )

x = 0

x = 0

x = 0

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

28*x-33 = 28/x // - 28/x

28*x-(28/x)-33 = 0

28*x-28*x^-1-33 = 0

28*x^1-28*x^-1-33*x^0 = 0

(28*x^2-33*x^1-28*x^0)/(x^1) = 0 // * x^2

x^1*(28*x^2-33*x^1-28*x^0) = 0

x^1

28*x^2-33*x-28 = 0

28*x^2-33*x-28 = 0

DELTA = (-33)^2-(-28*4*28)

DELTA = 4225

DELTA > 0

x = (4225^(1/2)+33)/(2*28) or x = (33-4225^(1/2))/(2*28)

x = 7/4 or x = -4/7

x in { -4/7, 7/4} 

x in { -4/7, 7/4 }

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