3/8+1/2x=2/x

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Solution for 3/8+1/2x=2/x equation:


D( x )

x = 0

x = 0

x = 0

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

(1/2)*x+3/8 = 2/x // - 2/x

(1/2)*x-(2/x)+3/8 = 0

(1/2)*x-2*x^-1+3/8 = 0

1/2*x^1-2*x^-1+3/8*x^0 = 0

(1/2*x^2+3/8*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(1/2*x^2+3/8*x^1-2*x^0) = 0

x^1

(1/2)*x^2+(3/8)*x-2 = 0

(1/2)*x^2+(3/8)*x-2 = 0

DELTA = (3/8)^2-(-2*4*(1/2))

DELTA = 265/64

DELTA > 0

x = ((265/64)^(1/2)-(3/8))/(2*(1/2)) or x = (-(3/8)-(265/64)^(1/2))/(2*(1/2))

x = (265/64)^(1/2)-3/8 or x = -((265/64)^(1/2)+3/8)

x in { -((265/64)^(1/2)+3/8), (265/64)^(1/2)-3/8}

x in { -((265/64)^(1/2)+3/8), (265/64)^(1/2)-3/8 }

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