1/x+1/x-10=21/10x-40

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Solution for 1/x+1/x-10=21/10x-40 equation: 


D( x )

x = 0

x = 0

x = 0

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

1/x+1/x-10 = (21/10)*x-40 // - (21/10)*x-40

1/x-((21/10)*x)+1/x-10+40 = 0

(-21/10)*x+1/x+1/x-10+40 = 0

2*x^-1-21/10*x^1+30*x^0 = 0

(30*x^1-21/10*x^2+2*x^0)/(x^1) = 0 // * x^2

x^1*(30*x^1-21/10*x^2+2*x^0) = 0

x^1

(-21/10)*x^2+30*x+2 = 0

(-21/10)*x^2+30*x+2 = 0

DELTA = 30^2-(2*4*(-21/10))

DELTA = 4584/5

DELTA > 0

x = ((4584/5)^(1/2)-30)/(2*(-21/10)) or x = (-(4584/5)^(1/2)-30)/(2*(-21/10))

x = -5/21*((4584/5)^(1/2)-30) or x = 5/21*((4584/5)^(1/2)+30)

x in { -5/21*((4584/5)^(1/2)-30), 5/21*((4584/5)^(1/2)+30)} 

x in { -5/21*((4584/5)^(1/2)-30), 5/21*((4584/5)^(1/2)+30) }

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