2x^2 + 11x + 34 = (x+6)^2
2x^2 +11x +34 = x^2 + 12x + 36
x^2 - x - 2 = 0
D = 1+ 8 = 9
x1 = (1+ 3)/2 = 2
x2 = (1-3)/2 = -1
Ответ: 2 и -1
(x²+x+1)(x²+x+2)=12=2x^4+x³+2x²+x³+x²+2x+x²+x+2=12=2x^4+x³+2x²+x³+x²+2x+x²+2=12=
=2x^4+x³+2x²+x³+x²+2x+x²=10=2x^4+2x³+4x²+2x=10
1.а)(y-2)^2+(1+2y)^2=y2-2y+4+1+2y+4y2=5y2+5
б)(7-8x)(8x+7)=49-56x2
в)-(a-2)(a2+2a+1)=-(a3+2a2+a-2a2-4a-2)=-(a3-3a-2)=-a3+3a+2
г)-(3a+1)^3=-(3a+1)(9a2-3a+1)=-(27a3-9a2+3a+9a2-3a+1)=-27a3-1
2.а)86a2+12a+1=?
б)100x2-49y2=(10x-7y)(10x+7y)
в)125x3-8y3=(5x-2y)(25x2+10xy+4y2)
г)y4-y3+y-1=y3(y-1)+(y-1)=(y3-1)(y-1)
3.а)4
б)12\7
4.а)49y2-4=0
(7y-2)(7y+2)=0
7y-2=0 или 7y+2=0
7y=2 7y=-2
y=2\7 y=-2\7
б)(5x+2)^2-(3x+5)^2=0
25x2+10x+4-9x2-15x-25=0
15x2-5x-21=0
15x2-5x=21
5x(3x-1)=21
5x=21 или 3x-1=21
x=4,2 3x=22
x=7,1\3
4.