(-3/4)x=-1/x

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Solution for (-3/4)x=-1/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(-3/4)*x = -1/x // + -1/x

(-3/4)*x-(-1/x) = 0

(-3/4)*x+x^-1 = 0

1*x^-1-3/4*x^1 = 0

(1*x^0-3/4*x^2)/(x^1) = 0 // * x^2

x^1*(1*x^0-3/4*x^2) = 0

x^1

(-3/4)*x^2+1 = 0

(-3/4)*x^2+1 = 0

DELTA = 0^2-(1*4*(-3/4))

DELTA = 3

DELTA > 0

x = (3^(1/2)+0)/(2*(-3/4)) or x = (0-3^(1/2))/(2*(-3/4))

x = -2/3*3^(1/2) or x = 2/3*3^(1/2)

x in { -2/3*3^(1/2), 2/3*3^(1/2)} 

x in { -2/3*3^(1/2), 2/3*3^(1/2) }

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