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D( x )
5*x-6 < 0
5*x-6 < 0
5*x-6 < 0
5*x-6 < 0 // + 6
5*x < 6 // : 5
x < 6/5
x in <6/5:+oo)
x = 6-(5*x-6)^(1/2) // - 6-(5*x-6)^(1/2)
(5*x-6)^(1/2)+x-6 = 0
(5*x-6)^(1/2) = x-6 // - x-6
(5*x-6)^(1/2) = -(x-6) // ^ 2
abs(5*x-6) = (-(x-6))^2 // - (-(x-6))^2
abs(5*x-6)-(-(x-6))^2 = 0
x in (-oo:+oo)
abs(5*x-6)
5*x-6 >= 0
5*x-6 >= 0 // + 6
5*x >= 6 // : 5
x >= 6/5
x in <6/5:+oo)
5*x-(-(x-6))^2-6 = 0
x in (-oo:6/5)
6-(-(x-6))^2-(5*x) = 0
abs(5*x-6)-(-(x-6))^2 = 0
/ | 6-(-(x-6))^2-(5*x) = 0 i x in (-oo:6/5) | 5*x-(-(x-6))^2-6 = 0 i x in <6/5:+oo)
x in (-oo:6/5)
6-(-(x-6))^2-(5*x) = 0
6-1*(6-x)^2-5*x = 0
6-1*(6-x)^2-5*x = 0
7*x-x^2-36+6 = 0
7*x-x^2-30 = 0
7*x-x^2-30 = 0
7*x-x^2-30 = 0
DELTA = 7^2-(-30*(-1)*4)
DELTA = -71
DELTA < 0
1 = 0
1 = 0
x in <6/5:+oo)
5*x-(-(x-6))^2-6 = 0
5*x-1*(6-x)^2-6 = 0
5*x-1*(6-x)^2-6 = 0
17*x-x^2-36-6 = 0
17*x-x^2-42 = 0
17*x-x^2-42 = 0
17*x-x^2-42 = 0
DELTA = 17^2-(-42*(-1)*4)
DELTA = 121
DELTA > 0
x = (121^(1/2)-17)/(-1*2) or x = (-121^(1/2)-17)/(-1*2)
x = 3 or x = 14
(x-3)*(x-14) = 0
(x-3)*(x-14) = 0
( x-14 )
x-14 = 0 // + 14
x = 14
( x-3 )
x-3 = 0 // + 3
x = 3
x in { 14, 3 }
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