X (36x2-12x2+1)=0
X (6x-1)2=0
X=0 (6x-1)2=0
6x-1=0
6x=0+1
X=1:6=1/6
(2^10)^10 + (2^10)^ +(2^10)^ +(2^10)^+ (2^10)^ +(2^10)^ +(2^10)^+ (2^10)^ +(2^10)^ +(2^10)^
<span>3*(x-0,8)+2,6=3x-2,4+2,6=3x+0,2</span>
11sin^2 a + 9cos^2 a + 8sin^4 a + 2cos^4 a =
= 9sin^2 a + 9cos^2 a + 2sin^2 a + 6sin^4 a + 2(sin^4 a + 2cos^4 a) = (*)
Заметим, что
1) 9sin^2 a + 9cos^2 a = 9(sin^2 a + cos^2 a) = 9
2) sin^4 a + cos^4 a = sin^4 a + 2sin^2 a*cos^2 a + cos^4 a - 2sin^2 a*cos^2 a =
= (sin^2 a + cos^2 a)^2 -
2sin^2 a*cos^2 a = 1 - 1/2*(4sin^2 a*cos^2 a)
Подставляем
(*) = 9 + 2sin^2 a + 6sin^4 a + 2 -
4sin^2 a*cos^2 a =
= 11 + 4sin^2 a - 2sin^2 a +
6sin^4 a
-
4sin^2 a*cos^2 a =
= 11
- 2sin^2 a +
6sin^4 a +
4sin^2 a*(1 - cos^2 a) =
= 11 - 2sin^2 a +
6sin^4 a +
4sin^4 a = 11 - 2sin^2 a +
10sin^4 a =
= 10(sin^4 a - 2*1/10*sin^2 a + 1/100) - 1/10 + 11 =
= 10(sin^2 a - 1/10)^2 + 109/10
Минимальное значение квадрата равно 0, а всего выражения 109/10.