Объяснение:
4
(-4)²+2*(-4)+q=0
16-8+q=0
8+q=0
q= -8
x²+2x-8=0
x₁+x₂= -2
-4+x₂= -2
x₂= -2+4
x₂=2
5
(x-3)²+4(x-3)=5
x²-6x+9+4x-12-5=0
x²-2x-8=0
x₁+x₂=2
x₁x₂= -8
x₁=4
x₂= -2
6
(x+5)(x+2) +(x-5)(x-2)=10x+8
x²+2x+5x+10+x²-2x-5x+10-10x-8=0
2x²-10x+12=0
x²-5x+6=0
x₁+x₂=5
x₁x₂=6
x₁=2
x₂=3
Объяснение:
4
(-4)²+2*(-4)+q=0
16-8+q=0
8+q=0
q= -8
x²+2x-8=0
x₁+x₂= -2
-4+x₂= -2
x₂= -2+4
x₂=2
5
(x-3)²+4(x-3)=5
x²-6x+9+4x-12-5=0
x²-2x-8=0
x₁+x₂=2
x₁x₂= -8
x₁=4
x₂= -2
6
(x+5)(x+2) +(x-5)(x-2)=10x+8
x²+2x+5x+10+x²-2x-5x+10-10x-8=0
2x²-10x+12=0
x²-5x+6=0
x₁+x₂=5
x₁x₂=6
x₁=2
x₂=3