(6/5)x=41/x

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Solution for (6/5)x=41/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(6/5)*x = 41/x // - 41/x

(6/5)*x-(41/x) = 0

(6/5)*x-41*x^-1 = 0

6/5*x^1-41*x^-1 = 0

(6/5*x^2-41*x^0)/(x^1) = 0 // * x^2

x^1*(6/5*x^2-41*x^0) = 0

x^1

(6/5)*x^2-41 = 0

(6/5)*x^2-41 = 0

DELTA = 0^2-(-41*4*(6/5))

DELTA = 984/5

DELTA > 0

x = ((984/5)^(1/2)+0)/(2*(6/5)) or x = (0-(984/5)^(1/2))/(2*(6/5))

x = 5/12*(984/5)^(1/2) or x = 5/12*(984/5)^(1/2)

x in { 5/12*(984/5)^(1/2), 5/12*(984/5)^(1/2)} 

x in { 5/12*(984/5)^(1/2), 5/12*(984/5)^(1/2) }

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