16/8x-8+1/8-2/x-1

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Solution for 16/8x-8+1/8-2/x-1 equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

2*x^1-2*x^-1-71/8*x^0 = 0

(2*x^2-71/8*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-71/8*x^1-2*x^0) = 0

x^1

2*x^2+(-71/8)*x-2 = 0

2*x^2+(-71/8)*x-2 = 0

DELTA = (-71/8)^2-(-2*2*4)

DELTA = 6065/64

DELTA > 0

x = ((6065/64)^(1/2)-(-71/8))/(2*2) or x = (-(-71/8)-(6065/64)^(1/2))/(2*2)

x = ((6065/64)^(1/2)+71/8)/4 or x = (71/8-(6065/64)^(1/2))/4

x in { (71/8-(6065/64)^(1/2))/4, ((6065/64)^(1/2)+71/8)/4}

x in { (71/8-(6065/64)^(1/2))/4, ((6065/64)^(1/2)+71/8)/4 }

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