1/(4x)+1/(2x)=x/4

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Solution for 1/(4x)+1/(2x)=x/4 equation: 


D( x )

4*x = 0

2*x = 0

4*x = 0

4*x = 0

4*x = 0 // : 4

x = 0

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

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

1/(4*x)+1/(2*x) = x/4 // - x/4

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

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

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

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

x^1

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

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

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

DELTA = 3/4

DELTA > 0

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

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

x in { -2*(3/4)^(1/2), 2*(3/4)^(1/2)} 

x in { -2*(3/4)^(1/2), 2*(3/4)^(1/2) }

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