2/x-1/8x=15/16

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Solution for 2/x-1/8x=15/16 equation:


D( x )

x = 0

x = 0

x = 0

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

2/x-((1/8)*x) = 15/16 // - 15/16

2/x-((1/8)*x)-(15/16) = 0

(-1/8)*x+2/x-15/16 = 0

2*x^-1-1/8*x^1-15/16*x^0 = 0

(2*x^0-1/8*x^2-15/16*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-1/8*x^2-15/16*x^1) = 0

x^1

(-1/8)*x^2+(-15/16)*x+2 = 0

(-1/8)*x^2+(-15/16)*x+2 = 0

DELTA = (-15/16)^2-(2*4*(-1/8))

DELTA = 481/256

DELTA > 0

x = ((481/256)^(1/2)-(-15/16))/(2*(-1/8)) or x = (-(-15/16)-(481/256)^(1/2))/(2*(-1/8))

x = -4*((481/256)^(1/2)+15/16) or x = -4*(15/16-(481/256)^(1/2))

x in { -4*((481/256)^(1/2)+15/16), -4*(15/16-(481/256)^(1/2))}

x in { -4*((481/256)^(1/2)+15/16), -4*(15/16-(481/256)^(1/2)) }

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