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D( x )
x < 0
x < 0
x in <0:+oo)
6*x-(5*x^(1/2)) = 6 // - 6
6*x-(5*x^(1/2))-6 = 0
6*x-5*x^(1/2)-6 = 0
t_1 = x^(1/2)
6*t_1^2-5*t_1^1-6 = 0
6*t_1^2-5*t_1-6 = 0
DELTA = (-5)^2-(-6*4*6)
DELTA = 169
DELTA > 0
t_1 = (169^(1/2)+5)/(2*6) or t_1 = (5-169^(1/2))/(2*6)
t_1 = 3/2 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 należy do O
t_1 = 3/2
x^(1/2)-3/2 = 0
1*x^(1/2) = 3/2 // : 1
x^(1/2) = 3/2
x^(1/2) = 3/2 // ^ 2
x = 9/4
x = 9/4
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