20x-9=20/x

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Solution for 20x-9=20/x equation: 


D( x )

x = 0

x = 0

x = 0

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

20*x-9 = 20/x // - 20/x

20*x-(20/x)-9 = 0

20*x-20*x^-1-9 = 0

20*x^1-20*x^-1-9*x^0 = 0

(20*x^2-9*x^1-20*x^0)/(x^1) = 0 // * x^2

x^1*(20*x^2-9*x^1-20*x^0) = 0

x^1

20*x^2-9*x-20 = 0

20*x^2-9*x-20 = 0

DELTA = (-9)^2-(-20*4*20)

DELTA = 1681

DELTA > 0

x = (1681^(1/2)+9)/(2*20) or x = (9-1681^(1/2))/(2*20)

x = 5/4 or x = -4/5

x in { -4/5, 5/4} 

x in { -4/5, 5/4 }

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