(6/4x)-(3/16)=(3/x)

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Solution for (6/4x)-(3/16)=(3/x) equation:


D( x )

x = 0

x = 0

x = 0

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

(6/4)*x-(3/16) = 3/x // - 3/x

(6/4)*x-(3/x)-(3/16) = 0

(6/4)*x-3*x^-1-3/16 = 0

3/2*x^1-3*x^-1-3/16*x^0 = 0

(3/2*x^2-3/16*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(3/2*x^2-3/16*x^1-3*x^0) = 0

x^1

(3/2)*x^2+(-3/16)*x-3 = 0

(3/2)*x^2+(-3/16)*x-3 = 0

DELTA = (-3/16)^2-(-3*4*(3/2))

DELTA = 4617/256

DELTA > 0

x = ((4617/256)^(1/2)-(-3/16))/(2*(3/2)) or x = (-(-3/16)-(4617/256)^(1/2))/(2*(3/2))

x = ((4617/256)^(1/2)+3/16)/3 or x = (3/16-(4617/256)^(1/2))/3

x in { (3/16-(4617/256)^(1/2))/3, ((4617/256)^(1/2)+3/16)/3}

x in { (3/16-(4617/256)^(1/2))/3, ((4617/256)^(1/2)+3/16)/3 }

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