A-b/ (a√b+b√a) =(√а-√b)(√a+∠b)/√(ab)(√a+∠b)=(√а-√b)/<span>√(ab)0</span>
CosA= 18/30= 6/10=0,6
угол А - 53°
1)x+7y=2
5x+13y=12
x=2-7y
5(2-7y)+13y=12, 10-35y+13y=12, -22y=2,y=-1/11
x=2-7.(-1/11)=2+7/11=29/11
/x,y/=/29/11, -1/11/
2)5x+y=3
9x+2y=4
y=3-5x
9x+2(3-5x)=4
9x+6-10x=4, -x=-2, x=2
y=3-5.2=3-10=-7
/x,y/=/2,-7/
(x+y)² = x²+2xy+y²
(x+y)² -2xy=x²+y²
(x+y)² -2*(-10)=29
(x+y)² +20=29
(x+y)² +20-29=0
(x+y)² - 9=0
(x+y)² - 3²=0
(x+y-3)(x+y+3)=0
1) x+y-3=0
x=3-y
(3-y)y= -10
3y-y²+10=0
y² -3y -10=0
D=(-3)² - 4*(-10)=9+40=49
y₁=(3-7)/2= -2 x₁*(-2)= -10
x₁=5
y₂=(3+7)/2=5 x₂*5= -10
x₂= -2
2) x+y+3=0
x= -3-y
(-3-y)y= -10
-3y-y² +10=0
y² +3y -10=0
D=3² -4*(-10)=9+40=49
y₁=(-3-7)/2= -5 x₁*(-5)= -10
x₁=2
y₂=(-3+7)/2=2 x₂*2= -10
x₂= -5
Ответ: (-5; 2); (-2; 5); (2; -5); (5; -2).