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

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


D( x )

x < 0

x < 0

x in <0:+oo)

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

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

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

t_1 = x^(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

x^(1/2)+5 = 0

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

x^(1/2) = -5

( -5 < 0 i 1/2 in (0:1) ) => x naleu017Cy do O

t_1 = 11

x^(1/2)-11 = 0

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

x^(1/2) = 11

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

x = 121

x = 121

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