34.5/(x+2)=(1.5+x)

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Solution for 34.5/(x+2)=(1.5+x) 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)

34.5/(x+2) = x+1.5 // - x+1.5

34.5/(x+2)-x-1.5 = 0

34.5/(x+2)+(-x*(x+2))/(x+2)+(-1.5*(x+2))/(x+2) = 0

34.5-x*(x+2)-1.5*(x+2) = 0

34.5-x^2-2*x-1.5*x-3 = 0

31.5-x^2-3.5*x = 0

31.5-x^2-3.5*x = 0

31.5-x^2-3.5*x = 0

DELTA = (-3.5)^2-(-1*4*31.5)

DELTA = 3.5^2+126

DELTA = 138.25

DELTA > 0

x = ((3.5^2+126)^(1/2)+3.5)/(-1*2) or x = (3.5-(3.5^2+126)^(1/2))/(-1*2)

x = ((3.5^2+126)^(1/2)+3.5)/(-2) or x = (3.5-(3.5^2+126)^(1/2))/(-2)

(x-(((3.5^2+126)^(1/2)+3.5)/(-2)))*(x-((3.5-(3.5^2+126)^(1/2))/(-2))) = 0

((x-(((3.5^2+126)^(1/2)+3.5)/(-2)))*(x-((3.5-(3.5^2+126)^(1/2))/(-2))))/(x+2) = 0

((x-(((3.5^2+126)^(1/2)+3.5)/(-2)))*(x-((3.5-(3.5^2+126)^(1/2))/(-2))))/(x+2) = 0 // * x+2

(x-(((3.5^2+126)^(1/2)+3.5)/(-2)))*(x-((3.5-(3.5^2+126)^(1/2))/(-2))) = 0

( x-(((3.5^2+126)^(1/2)+3.5)/(-2)) )

x-(((3.5^2+126)^(1/2)+3.5)/(-2)) = 0 // + ((3.5^2+126)^(1/2)+3.5)/(-2)

x = ((3.5^2+126)^(1/2)+3.5)/(-2)

( x-((3.5-(3.5^2+126)^(1/2))/(-2)) )

x-((3.5-(3.5^2+126)^(1/2))/(-2)) = 0 // + (3.5-(3.5^2+126)^(1/2))/(-2)

x = (3.5-(3.5^2+126)^(1/2))/(-2)

x in { ((3.5^2+126)^(1/2)+3.5)/(-2), (3.5-(3.5^2+126)^(1/2))/(-2) }

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