4/y+2=10/5y

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Solution for 4/y+2=10/5y equation: 


D( y )

y = 0

y = 0

y = 0

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

4/y+2 = (10/5)*y // - (10/5)*y

4/y-((10/5)*y)+2 = 0

4/y-2*y+2 = 0

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

(2*y^1-2*y^2+4*y^0)/(y^1) = 0 // * y^2

y^1*(2*y^1-2*y^2+4*y^0) = 0

y^1

2*y-2*y^2+4 = 0

2*y-2*y^2+4 = 0

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

DELTA = 36

DELTA > 0

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

y = -1 or y = 2

y in { -1, 2} 

y in { -1, 2 }

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