2x^1/4=64/x

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Solution for 2x^1/4=64/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(2*x^1)/4 = 64/x // - 64/x

(2*x^1)/4-(64/x) = 0

(2*x)/4-64*x^-1 = 0

1/2*x^1-64*x^-1 = 0

(1/2*x^2-64*x^0)/(x^1) = 0 // * x^2

x^1*(1/2*x^2-64*x^0) = 0

x^1

(1/2)*x^2-64 = 0

(1/2)*x^2-64 = 0

DELTA = 0^2-(-64*4*(1/2))

DELTA = 128

DELTA > 0

x = (128^(1/2)+0)/(2*(1/2)) or x = (0-128^(1/2))/(2*(1/2))

x = 8*2^(1/2) or x = -8*2^(1/2)

x in { -8*2^(1/2), 8*2^(1/2)} 

x in { -8*2^(1/2), 8*2^(1/2) }

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