1/x-2/3x=1/15

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Solution for 1/x-2/3x=1/15 equation:


D( x )

x = 0

x = 0

x = 0

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

1/x-((2/3)*x) = 1/15 // - 1/15

1/x-((2/3)*x)-(1/15) = 0

(-2/3)*x+1/x-1/15 = 0

1*x^-1-2/3*x^1-1/15*x^0 = 0

(1*x^0-2/3*x^2-1/15*x^1)/(x^1) = 0 // * x^2

x^1*(1*x^0-2/3*x^2-1/15*x^1) = 0

x^1

(-2/3)*x^2+(-1/15)*x+1 = 0

(-2/3)*x^2+(-1/15)*x+1 = 0

DELTA = (-1/15)^2-(1*4*(-2/3))

DELTA = 601/225

DELTA > 0

x = ((601/225)^(1/2)-(-1/15))/(2*(-2/3)) or x = (-(-1/15)-(601/225)^(1/2))/(2*(-2/3))

x = -3/4*((601/225)^(1/2)+1/15) or x = -3/4*(1/15-(601/225)^(1/2))

x in { -3/4*((601/225)^(1/2)+1/15), -3/4*(1/15-(601/225)^(1/2))}

x in { -3/4*((601/225)^(1/2)+1/15), -3/4*(1/15-(601/225)^(1/2)) }

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