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D( x )
3*x < 0
3*x < 0
3*x < 0
3*x+0 < 0 // - 0
3*x < 0 // : 3
x < 0/3
x < 0
x in <0:+oo)
x-6 = (3*x)^(1/2) // - (3*x)^(1/2)
x-(3*x)^(1/2)-6 = 0
x-3^(1/2)*x^(1/2)-6 = 0
t_1 = x^(1/2)
1*t_1^2-3^(1/2)*t_1^1-6 = 0
t_1^2-3^(1/2)*t_1-6 = 0
DELTA = (-3^(1/2))^2-(-6*1*4)
DELTA = 27
DELTA > 0
t_1 = (3^(1/2)+27^(1/2))/(1*2) or t_1 = (3^(1/2)-27^(1/2))/(1*2)
t_1 = (3^(1/2)+3*3^(1/2))/2 or t_1 = (3^(1/2)-3*3^(1/2))/2
t_1 = (3^(1/2)-3*3^(1/2))/2
x^(1/2)-((3^(1/2)-3*3^(1/2))/2) = 0
1*x^(1/2) = -3^(1/2) // : 1
x^(1/2) = -3^(1/2)
( -3^(1/2) < 0 i 1/2 in (0:1) ) => x należy do O
t_1 = (3^(1/2)+3*3^(1/2))/2
x^(1/2)-((3^(1/2)+3*3^(1/2))/2) = 0
1*x^(1/2) = -(-2*3^(1/2)) // : 1
x^(1/2) = 2*3^(1/2)
x^(1/2) = 2*3^(1/2) // ^ 2
x = 12
x = 12
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