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D( x )
64-(6*x) < 0
64-(6*x) < 0
64-(6*x) < 0
64-6*x < 0
64-6*x < 0 // - 64
-6*x < -64 // : -6
x > -64/(-6)
x > 32/3
x in (-oo:32/3>
(64-(6*x))^(1/2) = x-4 // - x-4
(64-(6*x))^(1/2)-x+4 = 0
(64-6*x)^(1/2)-x+4 = 0
(64-6*x)^(1/2) = 4-x // - 4-x
(64-6*x)^(1/2) = -(4-x) // ^ 2
abs(64-6*x) = (-(4-x))^2 // - (-(4-x))^2
abs(64-6*x)-(-(4-x))^2 = 0
x in (-oo:+oo)
abs(64-6*x)
64-6*x >= 0
64-6*x >= 0 // - 64
-6*x >= -64 // : -6
x <= -64/(-6)
x <= 32/3
x in (-oo:32/3>
64-(-(4-x))^2-6*x = 0
x in (32/3:+oo)
-(-(4-x))^2-(-6*x)-64 = 0
abs(64-6*x)-(-(4-x))^2 = 0
/ | 64-(-(4-x))^2-6*x = 0 i x in (-oo:32/3> | -(-(4-x))^2-(-6*x)-64 = 0 i x in (32/3:+oo)
x in (-oo:32/3>
64-(-(4-x))^2-6*x = 0
64-1*(x-4)^2-6*x = 0
64-1*(x-4)^2-6*x = 0
2*x-x^2-16+64 = 0
2*x-x^2+48 = 0
2*x-x^2+48 = 0
2*x-x^2+48 = 0
DELTA = 2^2-(-1*4*48)
DELTA = 196
DELTA > 0
x = (196^(1/2)-2)/(-1*2) or x = (-196^(1/2)-2)/(-1*2)
x = -6 or x = 8
(x+6)*(x-8) = 0
(x+6)*(x-8) = 0
( x+6 )
x+6 = 0 // - 6
x = -6
( x-8 )
x-8 = 0 // + 8
x = 8
x in (32/3:+oo)
-(-(4-x))^2-(-6*x)-64 = 0
6*x-1*(x-4)^2-64 = 0
6*x-1*(x-4)^2-64 = 0
14*x-x^2-64-16 = 0
14*x-x^2-80 = 0
14*x-x^2-80 = 0
14*x-x^2-80 = 0
DELTA = 14^2-(-80*(-1)*4)
DELTA = -124
DELTA < 0
1 = 0
1 = 0
x in { -6, 8 }
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