-4 и 12
Объяснение:
1/(x+6) + 7/(x-3) = 5/(x-6)
(5x+30-x+6)/(x²-36)=7/(x-3)
(x-3)(4x+36)=7x²-252
7x²-252=4x²+36x-12x-108
7x²-252-4x²-24x+108=0
3x²-24x-144=0 |3
x²-8x-48=0; D=64+192=256
x₁=(8-16)/2=-8/2=-4
x₂=(8+16)/2=24/2=12
-4 и 12
Объяснение:
1/(x+6) + 7/(x-3) = 5/(x-6)
(5x+30-x+6)/(x²-36)=7/(x-3)
(x-3)(4x+36)=7x²-252
7x²-252=4x²+36x-12x-108
7x²-252-4x²-24x+108=0
3x²-24x-144=0 |3
x²-8x-48=0; D=64+192=256
x₁=(8-16)/2=-8/2=-4
x₂=(8+16)/2=24/2=12