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D( x )
x < 0
x < 0
x in <0:+oo)
5*x-(18*x^(1/2))-9 = 0
5*x-18*x^(1/2)-9 = 0
t_1 = x^(1/2)
5*t_1^2-18*t_1^1-9 = 0
5*t_1^2-18*t_1-9 = 0
DELTA = (-18)^2-(-9*4*5)
DELTA = 504
DELTA > 0
t_1 = (504^(1/2)+18)/(2*5) or t_1 = (18-504^(1/2))/(2*5)
t_1 = (6*14^(1/2)+18)/10 or t_1 = (18-6*14^(1/2))/10
t_1 = (18-6*14^(1/2))/10
x^(1/2)-((18-6*14^(1/2))/10) = 0
1*x^(1/2) = (18-6*14^(1/2))/10 // : 1
x^(1/2) = (18-6*14^(1/2))/10
( (18-6*14^(1/2))/10 < 0 i 1/2 in (0:1) ) => x należy do O
t_1 = (6*14^(1/2)+18)/10
x^(1/2)-((6*14^(1/2)+18)/10) = 0
1*x^(1/2) = (6*14^(1/2)+18)/10 // : 1
x^(1/2) = (6*14^(1/2)+18)/10
x^(1/2) = (6*14^(1/2)+18)/10 // ^ 2
x = ((6*14^(1/2)+18)^2)/100
x = ((6*14^(1/2)+18)^2)/100
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