9x+3x^(1/2)-2=0

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Solution for 9x+3x^(1/2)-2=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

9*x+3*x^(1/2)-2 = 0

t_1 = x^(1/2)

9*t_1^2+3*t_1^1-2 = 0

9*t_1^2+3*t_1-2 = 0

DELTA = 3^2-(-2*4*9)

DELTA = 81

DELTA > 0

t_1 = (81^(1/2)-3)/(2*9) or t_1 = (-81^(1/2)-3)/(2*9)

t_1 = 1/3 or t_1 = -2/3

t_1 = -2/3

x^(1/2)+2/3 = 0

1*x^(1/2) = -2/3 // : 1

x^(1/2) = -2/3

( -2/3 < 0 i 1/2 in (0:1) ) => x naleu017Cy do O

t_1 = 1/3

x^(1/2)-1/3 = 0

1*x^(1/2) = 1/3 // : 1

x^(1/2) = 1/3

x^(1/2) = 1/3 // ^ 2

x = 1/9

x = 1/9

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