10x-40/x-4

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Solution for 10x-40/x-4 equation: 


D( x )

x = 0

x = 0

x = 0

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

10*x-(40/x)-4 = 0

10*x-40*x^-1-4 = 0

10*x^1-40*x^-1-4*x^0 = 0

(10*x^2-4*x^1-40*x^0)/(x^1) = 0 // * x^2

x^1*(10*x^2-4*x^1-40*x^0) = 0

x^1

10*x^2-4*x-40 = 0

10*x^2-4*x-40 = 0

DELTA = (-4)^2-(-40*4*10)

DELTA = 1616

DELTA > 0

x = (1616^(1/2)+4)/(2*10) or x = (4-1616^(1/2))/(2*10)

x = (4*101^(1/2)+4)/20 or x = (4-4*101^(1/2))/20

x in { (4-4*101^(1/2))/20, (4*101^(1/2)+4)/20} 

x in { (4-4*101^(1/2))/20, (4*101^(1/2)+4)/20 }

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