1/6y-y^(1/2)=55/6

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Solution for 1/6y-y^(1/2)=55/6 equation: 


D( y )

y < 0

y < 0

y in <0:+oo)

(1/6)*y-y^(1/2) = 55/6 // - 55/6

(1/6)*y-y^(1/2)-(55/6) = 0

(1/6)*y-y^(1/2)-55/6 = 0

1/6*y-y^(1/2)-55/6 = 0

t_1 = y^(1/2)

1/6*t_1^2-1*t_1^1-55/6 = 0

1/6*t_1^2-t_1-55/6 = 0

DELTA = (-1)^2-(-55/6*1/6*4)

DELTA = 64/9

DELTA > 0

t_1 = ((64/9)^(1/2)+1)/(1/6*2) or t_1 = (1-(64/9)^(1/2))/(1/6*2)

t_1 = 11 or t_1 = -5

t_1 = -5

y^(1/2)+5 = 0

1*y^(1/2) = -5 // : 1

y^(1/2) = -5

( -5 < 0 i 1/2 in (0:1) ) => y należy do O

t_1 = 11

y^(1/2)-11 = 0

1*y^(1/2) = 11 // : 1

y^(1/2) = 11

y^(1/2) = 11 // ^ 2

y = 121

y = 121

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