X^2 - 6x + 9 - (x^2 - 9) = x^2 - 6x + 9 - x^2 + 9 = - 6x + 18
x = - 0,1
( - 6)*( - 0,1) + 18 = 0,6 + 18 = 18,6
1)sin²2x-sin4x=3cos²2x
sin²2x-2sin2xcos2x-3cos²2x=0|÷cos²2x≠0
tg²2x-2tg2x-3=0
tg2x=a
a²-2a-3=0
D=16
a=3; tg2x=3⇒2x=arctg3+πn; x=1/2*arctg3+πn/2
a=-1; tg2x=-1; 2x=-π/4+πk; x=-π/8+πk/2
2)3sin²3x+2sin3xcos3x-cos²3x=0|÷cos²3x≠0
3tg²3x+2tg3x-1=0
tg3x=a
3a²+2a-1=0
D=16
a=-1; tg3x=-1; 3x=-π/4+πn; x=-π/12+πn/3
a=2/3; 3x=arctg2/3+πk; x=1/3*arctg2/3+πk/3
(x - 5)²(6 - x)³(x + 2)x⁴ ≤ 0;
(x - 5)²(6 - x)³(x + 2)x⁴ = 0;
x₁ = 5; x₂ = 6; x₃ = -2; x₄ = 0
------- ++++ +++ ++++ ------
----------------- -2------------0----------5--------6---------->
x ∈ (-∞; -2]U{0}U{5}U[6; ∞)
(1 24/25)^5 * 5^11/7^10=
=((49/25)^5 * 5^11)/7^10=
=(7^10/5^10*5^11)/7^10=
=(7^10*5)/7^10=
=5
Подробное решение на фото. удачи!!!