72x-17=72/x

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Solution for 72x-17=72/x equation: 


D( x )

x = 0

x = 0

x = 0

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

72*x-17 = 72/x // - 72/x

72*x-(72/x)-17 = 0

72*x-72*x^-1-17 = 0

72*x^1-72*x^-1-17*x^0 = 0

(72*x^2-17*x^1-72*x^0)/(x^1) = 0 // * x^2

x^1*(72*x^2-17*x^1-72*x^0) = 0

x^1

72*x^2-17*x-72 = 0

72*x^2-17*x-72 = 0

DELTA = (-17)^2-(-72*4*72)

DELTA = 21025

DELTA > 0

x = (21025^(1/2)+17)/(2*72) or x = (17-21025^(1/2))/(2*72)

x = 9/8 or x = -8/9

x in { -8/9, 9/8} 

x in { -8/9, 9/8 }

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