y+2=8/y

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Solution for y+2=8/y equation: 


D( y )

y = 0

y = 0

y = 0

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

y+2 = 8/y // - 8/y

y-(8/y)+2 = 0

y-8*y^-1+2 = 0

1*y^1-8*y^-1+2*y^0 = 0

(1*y^2+2*y^1-8*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2+2*y^1-8*y^0) = 0

y^1

y^2+2*y-8 = 0

y^2+2*y-8 = 0

DELTA = 2^2-(-8*1*4)

DELTA = 36

DELTA > 0

y = (36^(1/2)-2)/(1*2) or y = (-36^(1/2)-2)/(1*2)

y = 2 or y = -4

y in { -4, 2} 

y in { -4, 2 }

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