0.111y^2=(6y)^(1/2)

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Solution for 0.111y^2=(6y)^(1/2) equation:


D( y )

6*y < 0

6*y < 0

6*y < 0

6*y+0 < 0 // - 0

6*y < 0 // : 6

y < 0/6

y < 0

y in <0:+oo)

0.111*y^2 = (6*y)^(1/2) // - (6*y)^(1/2)

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

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

t_1 = y^(1/2)

0.111*t_1^4-6^(1/2)*t_1^1 = 0

0.111*t_1^4-6^(1/2)*t_1 = 0

t_1*(0.111*t_1^3-6^(1/2)) = 0

0.111*t_1^3 = 6^(1/2) // : 0.111

t_1^3 = 9.00900901*6^(1/2)

t_1^3 = 9.00900901*6^(1/2) // ^ 1/3

t_1 = 9.00900901^(1/3)*6^(1/6)

t_1 = 0

t_1 = 0

t_1 = 9.00900901^(1/3)*6^(1/6)

y^(1/2)-(9.00900901^(1/3)*6^(1/6)) = 0

1*y^(1/2) = 9.00900901^(1/3)*6^(1/6) // : 1

y^(1/2) = 9.00900901^(1/3)*6^(1/6)

y^(1/2) = 9.00900901^(1/3)*6^(1/6) // ^ 2

y = 9.00900901^(2/3)*6^(1/3)

t_1 = 0

y^(1/2)+0 = 0

y^(1/2) = 0

1*y^(1/2) = 0 // : 1

y^(1/2) = 0

y = 0

y in { 9.00900901^(2/3)*6^(1/3), 0 }

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