(8/x)-16=(16/3x)

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Solution for (8/x)-16=(16/3x) equation:


D( x )

x = 0

x = 0

x = 0

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

8/x-16 = (16/3)*x // - (16/3)*x

8/x-((16/3)*x)-16 = 0

(-16/3)*x+8/x-16 = 0

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

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

x^1*(8*x^0-16/3*x^2-16*x^1) = 0

x^1

(-16/3)*x^2-16*x+8 = 0

(-16/3)*x^2-16*x+8 = 0

DELTA = (-16)^2-(4*8*(-16/3))

DELTA = 1280/3

DELTA > 0

x = ((1280/3)^(1/2)+16)/(2*(-16/3)) or x = (16-(1280/3)^(1/2))/(2*(-16/3))

x = -3/32*((1280/3)^(1/2)+16) or x = -3/32*(16-(1280/3)^(1/2))

x in { -3/32*((1280/3)^(1/2)+16), -3/32*(16-(1280/3)^(1/2))}

x in { -3/32*((1280/3)^(1/2)+16), -3/32*(16-(1280/3)^(1/2)) }

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