(5y^4+6y^2-1)/(y-1/5)

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Solution for (5y^4+6y^2-1)/(y-1/5) equation: 


D( y )

y-(1/5) = 0

y-(1/5) = 0

y-(1/5) = 0

y-1/5 = 0

y-1/5 = 0 // + 1/5

y = 1/5

y in (-oo:1/5) U (1/5:+oo)

(5*y^4+6*y^2-1)/(y-(1/5)) = 0

(5*y^4+6*y^2-1)/(y-1/5) = 0

(5*y^4+6*y^2-1)/(y-(1/5)) = 0 // * y-(1/5)

5*y^4+6*y^2-1 = 0

t_1 = y^2

5*t_1^2+6*t_1^1-1 = 0

5*t_1^2+6*t_1-1 = 0

DELTA = 6^2-(-1*4*5)

DELTA = 56

DELTA > 0

t_1 = (56^(1/2)-6)/(2*5) or t_1 = (-56^(1/2)-6)/(2*5)

t_1 = (2*14^(1/2)-6)/10 or t_1 = (-2*14^(1/2)-6)/10

t_1 = (-2*14^(1/2)-6)/10

y^2-((-2*14^(1/2)-6)/10) = 0

1*y^2 = (-2*14^(1/2)-6)/10 // : 1

y^2 = (-2*14^(1/2)-6)/10

t_1 = (2*14^(1/2)-6)/10

y^2-((2*14^(1/2)-6)/10) = 0

1*y^2 = (2*14^(1/2)-6)/10 // : 1

y^2 = (2*14^(1/2)-6)/10

y^2 = (2*14^(1/2)-6)/10 // ^ 1/2

abs(y) = ((2*14^(1/2)-6)^(1/2))/(10^(1/2))

y = ((2*14^(1/2)-6)^(1/2))/(10^(1/2)) or y = -(((2*14^(1/2)-6)^(1/2))/(10^(1/2)))

y in { ((2*14^(1/2)-6)^(1/2))/(10^(1/2)), -(((2*14^(1/2)-6)^(1/2))/(10^(1/2))) }

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