3.2
x²+4x+4-x²+9= 4x+13
3.4
y²+3y-2y-6-y²+2y-1+25-y²= -y²+3y+18
3х-4у=-7 [*2
2х+5у=3 [*(-3)
....
6х-8у=-14
-6х-15у=-9
_________
-23у=-23
у=-1
...
у=1
2х+5у=3
...
у=1
2х=3-5
...
у=1
2х=-2
...
у=1
х=-1
Решение
4sin∧2x + 4cosx - 1 = 0
4*(1 - cos∧2x) + 4 cosx - 1 = 0
4 - 4cos∧2x + 4cosx - 1 = 0
4cos∧2x - 4cosx - 3 = 0
D = 16 + 4*4*3 = 64
1) cosx = (4 - 8) / 8 = -1/2
cosx = -1/2
x = (+ -) arccos(-1/2) + 2πn, n∈Z
x = (+ -) (π - π/3) + 2πn, n∈Z
x =( + -)(2π/3) + 2πn, n∈Z
2) cosx = (4 + 8 ) / 8 = 3/2 не удовлетворяет области определения функции y = cosx ( -1 ≤ cosx ≤ 1)
3x1+x2=14 2x1+3x2+x3=22 3x1+5x2-4x3=30
3·1x+x2=14 2·1x+3·2x+x3=22 3·1x+5·2x-4·3x=30
3x+x2=14 2x+6x+x3=22 3x+10x-12x=30
3x+2x=14 2x+6x+3x=22 x=30
5x=14 11x=22
x=14:5 х=21:11
x=2,8 x=2