X (x - 5)(x - 1) = 12(x - 5)
(x - 5) (x(x - 1) - 12) = 0
(x - 5)(x^2 - x - 12) = 0
1) x - 5 = 0
x = 5
2) x^2 - x - 12 = 0
D = 1 + 4*12 = 49
x1 = (1 + 7)/2 = 8/2 = 4
x2 = (1 - 7)/2 = - 6/2 = - 3
Ответ
- 3; 4 ; 5
802.
y=x³ -1
-3≤x≤2
x=-3 y=(-3)³-1= -27-1= -28
x= -2 y=(-2)³-1= -8-1= -9
x= -1 y= (-1)³-1= -2
x=0 y= 0³ -1= -1
x=1 y= 1³ -1 = 0
x=2 y=2³ -1 =8-1=7
<u>x| -3 | -2 | -1 | 0 | 1 | 2</u>
y| -28| -9 | -2 | -1 | 0 | 7
Решение задания приложено
F(x)=3+4x-x²
F'(x)=4-2x=0
x*=2
F(x*)=3+4•2-2²=3+8-4=7
Точка экстремума (2;7)