5x=80/x

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Solution for 5x=80/x equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x = 80/x // - 80/x

5*x-(80/x) = 0

5*x-80*x^-1 = 0

5*x^1-80*x^-1 = 0

(5*x^2-80*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^2-80*x^0) = 0

x^1

5*x^2-80 = 0

5*x^2-80 = 0

DELTA = 0^2-(-80*4*5)

DELTA = 1600

DELTA > 0

x = (1600^(1/2)+0)/(2*5) or x = (0-1600^(1/2))/(2*5)

x = 4 or x = -4

x in { -4, 4} 

x in { -4, 4 }

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