4x=5/x

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Solution for 4x=5/x equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x = 5/x // - 5/x

4*x-(5/x) = 0

4*x-5*x^-1 = 0

4*x^1-5*x^-1 = 0

(4*x^2-5*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-5*x^0) = 0

x^1

4*x^2-5 = 0

4*x^2-5 = 0

DELTA = 0^2-(-5*4*4)

DELTA = 80

DELTA > 0

x = (80^(1/2)+0)/(2*4) or x = (0-80^(1/2))/(2*4)

x = (1*5^(1/2))/2 or x = (-5^(1/2))/2

x in { (-5^(1/2))/2, (1*5^(1/2))/2} 

x in { (-5^(1/2))/2, (1*5^(1/2))/2 }

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