Question

Решите уравнение:
1/(x+6) + 7/(x-3) = 5/(x-6)

Answer 1

Ответ:

-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