5/x=4x

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Solution for 5/x=4x equation: 


D( x )

x = 0

x = 0

x = 0

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

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

5/x-(4*x) = 0

5/x-4*x = 0

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

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

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

x^1

5-4*x^2 = 0

5-4*x^2 = 0

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

DELTA = 80

DELTA > 0

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

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