(x^2+8x+2)/x+2=5

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Solution for (x^2+8x+2)/x+2=5 equation: 


D( x )

x = 0

x = 0

x = 0

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

(x^2+8*x+2)/x+2 = 5 // - 5

(x^2+8*x+2)/x-5+2 = 0

(x^2+8*x+2)/x+(-5*x)/x+(2*x)/x = 0

x^2+8*x-5*x+2*x+2 = 0

x^2+3*x+2*x+2 = 0

x^2+5*x+2 = 0

x^2+5*x+2 = 0

x^2+5*x+2 = 0

DELTA = 5^2-(1*2*4)

DELTA = 17

DELTA > 0

x = (17^(1/2)-5)/(1*2) or x = (-17^(1/2)-5)/(1*2)

x = (17^(1/2)-5)/2 or x = (-(17^(1/2)+5))/2

(x+(17^(1/2)+5)/2)*(x-((17^(1/2)-5)/2)) = 0

((x+(17^(1/2)+5)/2)*(x-((17^(1/2)-5)/2)))/x = 0

((x+(17^(1/2)+5)/2)*(x-((17^(1/2)-5)/2)))/x = 0 // * x

(x+(17^(1/2)+5)/2)*(x-((17^(1/2)-5)/2)) = 0

( x+(17^(1/2)+5)/2 )

x+(17^(1/2)+5)/2 = 0 // - (17^(1/2)+5)/2

x = -((17^(1/2)+5)/2)

( x-((17^(1/2)-5)/2) )

x-((17^(1/2)-5)/2) = 0 // + (17^(1/2)-5)/2

x = (17^(1/2)-5)/2

x in { -((17^(1/2)+5)/2), (17^(1/2)-5)/2 }

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