4x=20/x

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Solution for 4x=20/x equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x = 20/x // - 20/x

4*x-(20/x) = 0

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

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

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

x^1*(4*x^2-20*x^0) = 0

x^1

4*x^2-20 = 0

4*x^2-20 = 0

DELTA = 0^2-(-20*4*4)

DELTA = 320

DELTA > 0

x = (320^(1/2)+0)/(2*4) or x = (0-320^(1/2))/(2*4)

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

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

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

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