y+3/y=4y

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Solution for y+3/y=4y equation: 


D( y )

y = 0

y = 0

y = 0

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

y+3/y = 4*y // - 4*y

y-(4*y)+3/y = 0

y-4*y+3/y = 0

3*y^-1-3*y^1 = 0

(3*y^0-3*y^2)/(y^1) = 0 // * y^2

y^1*(3*y^0-3*y^2) = 0

y^1

3-3*y^2 = 0

3-3*y^2 = 0

DELTA = 0^2-(-3*3*4)

DELTA = 36

DELTA > 0

y = (36^(1/2)+0)/(-3*2) or y = (0-36^(1/2))/(-3*2)

y = -1 or y = 1

y in { -1, 1} 

y in { -1, 1 }

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