20x+2/(x+2)

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Solution for 20x+2/(x+2) equation:


D( x )

x+2 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x in (-oo:-2) U (-2:+oo)

2/(x+2)+20*x = 0

2/(x+2)+(20*x*(x+2))/(x+2) = 0

20*x*(x+2)+2 = 0

20*x^2+40*x+2 = 0

20*x^2+40*x+2 = 0

2*(10*x^2+20*x+1) = 0

10*x^2+20*x+1 = 0

DELTA = 20^2-(1*4*10)

DELTA = 360

DELTA > 0

x = (360^(1/2)-20)/(2*10) or x = (-360^(1/2)-20)/(2*10)

x = (6*10^(1/2)-20)/20 or x = (-6*10^(1/2)-20)/20

2*(x-((-6*10^(1/2)-20)/20))*(x-((6*10^(1/2)-20)/20)) = 0

(2*(x-((-6*10^(1/2)-20)/20))*(x-((6*10^(1/2)-20)/20)))/(x+2) = 0

(2*(x-((-6*10^(1/2)-20)/20))*(x-((6*10^(1/2)-20)/20)))/(x+2) = 0 // * x+2

2*(x-((-6*10^(1/2)-20)/20))*(x-((6*10^(1/2)-20)/20)) = 0

( x-((-6*10^(1/2)-20)/20) )

x-((-6*10^(1/2)-20)/20) = 0 // + (-6*10^(1/2)-20)/20

x = (-6*10^(1/2)-20)/20

( x-((6*10^(1/2)-20)/20) )

x-((6*10^(1/2)-20)/20) = 0 // + (6*10^(1/2)-20)/20

x = (6*10^(1/2)-20)/20

x in { (-6*10^(1/2)-20)/20, (6*10^(1/2)-20)/20 }

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