(a+b)2= (a+1)2= (a-b)2= (с-2)2=
(c+d)2= (4+b)2=
(m+r)2= (в+5)2=
(c-h)2= (x-7)2=
(k+s)2= (9-b)2=
(t+b)2= (2+y)2=
(f-q)2= (f+3)2=
(c+b)2= (1+k)2=
(a-d)2= (2+x)2=
(a+c)2= (a-5)2=
(f+m)2= (y+4)2=
(s-n)2= (h+11)2=
(y+x)2= (k+20)2=
(p+q)2= (8+b)2=
(t-x)2= (9+c)2=
(k+b)2= (3-d)2=
(a+m)2= (14+r)2=
(h-p)2= (a-8)2=
(y-b)2= (q+12)2=
(k+m)2= (p+15)2=
(f-h)2= (z-18)2=
(a+r)2= (10-b)2=
(y-b)2= (21+z)2=
(a+c)2= (2a+b)2=
(y+m)2= (a+4b)2=
(x-y)2= (5y+2c)2=
(m-b)2= (9k-1)2=
(c-y)2= (3x+2)2=
(h-x)2= (y-4b)2=
4х²-2х+3=0
D=(-2)²-4×4×3=4-48=-44 D<0, уравнение не имеет корней
----------------------------------------------------------------------------
5х²+26х=24
5х²+26х-24=0
D=26²-4×5×(-24)=676+480=1156 D>0
х₁=
х₂=
х₁=0,8
х₂=-6
-------------------------------------------------------------------------
3х²-5х=0
D=5²-4×3×0=25-0=25 D>0
х₁=
х₂=
х₁=1,667
х₂=0
--------------------------------------------------------------------
6-2х²=0
-2х²+6=0
D=0²-4×(-2)×6=0+48=48 D>0
х₁=
х₂=
х₁=-1,732
х₂=1,732
------------------------------------------------------------------
t²=35-2t
t²+2t-35=0
D=2²-4×1×(-35)=4+140=144
t₁=
t₂=
t₁=5
t₂=-7
1) 2cosx-1 < 0
cosx < 1/2
arccos(1/2) + 2πn < x < 2π - arccos(1/2) + 2πn, n ∈ Z
π/3 + 2πn < x < 2π - π/3 + 2πn, n ∈ Z
π/3 + 2πn < x < 5π/3 + 2πn, n ∈ Z
2) sin2x - √2/2 < 0
sin2x < √2/2
- π - arcsin(√2/2) + 2πk < 2x < arcsin(√2/2) + 2πk, k ∈ Z
- π - π/4 + 2πk < 2x < π/4 + 2πk, k ∈ Z
- 5π/4 + 2πk < 2x < π/4 + 2πk, k ∈ Z
- 5π/8 + πk < x < π/8 + πk, k ∈ Z
3) tgx<1
- π/2 + πn < x < arctg(1) + πn, n ∈ Z
- π/2 + πn < x < π/4 + πn, n ∈ Z