1.
2*(1-2sin²x) = 8sinx+5
2-4sin²x-8sinx-5=0
-4sin²x-8sinx-3=0
пусть sinx = t
-4t²-8t-3=0
D = 64-4*4*3 = 16
√D = 4
t1 = (8-4)/-8 = 4/-8 = -1/2
t2 = 12/-8 = 3/2
sinx = -1/2
x = 11π/6 + 2πk
sinx=1.5
нет корней
2.
у(-1) = -2-9-3=-14
у(4) = 128-144-3 = -19
у°=6х²-18х = 6х*(х-3)
6х*(х-3)=0
х=0
х=3
у(0) = -3
у(3) = 54-81-3 = -30
наиб = -3
наим = -30
1.
2*(1-2sin²x) = 8sinx+5
2-4sin²x-8sinx-5=0
-4sin²x-8sinx-3=0
пусть sinx = t
-4t²-8t-3=0
D = 64-4*4*3 = 16
√D = 4
t1 = (8-4)/-8 = 4/-8 = -1/2
t2 = 12/-8 = 3/2
sinx = -1/2
x = 11π/6 + 2πk
sinx=1.5
нет корней
2.
у(-1) = -2-9-3=-14
у(4) = 128-144-3 = -19
у°=6х²-18х = 6х*(х-3)
6х*(х-3)=0
х=0
х=3
у(0) = -3
у(3) = 54-81-3 = -30
наиб = -3
наим = -30