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

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


D( y )

y < 0

y < 0

y in <0:+oo)

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

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

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

t_1 = y^(1/2)

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

t_1^2-6*t_1-55 = 0

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

DELTA = 256

DELTA > 0

t_1 = (256^(1/2)+6)/(1*2) or t_1 = (6-256^(1/2))/(1*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 naleu017Cy 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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