1/x+1/x+8=15/8x+16

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Solution for 1/x+1/x+8=15/8x+16 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 79

DELTA > 0

x = (79^(1/2)+8)/(2*(-15/8)) or x = (8-79^(1/2))/(2*(-15/8))

x = -4/15*(79^(1/2)+8) or x = -4/15*(8-79^(1/2))

x in { -4/15*(79^(1/2)+8), -4/15*(8-79^(1/2))} 

x in { -4/15*(79^(1/2)+8), -4/15*(8-79^(1/2)) }

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