СОКРАТИТЕ ДРОБЬ 1)Х²-5Х-24/Х²-6Х-27 2)а²-6/а²-2√6а+6

Question

СОКРАТИТЕ ДРОБЬ
1)Х²-5Х-24/Х²-6Х-27
2)а²-6/а²-2√6а+6

Answer 1

1
x²-5x-24=0
x1+x2=5 U x1*x2=-24⇒x1=-3 U x2=8
x²-6x-27=0
x1+x2=6 U x1*x2=-27⇒x1=-3 U x2=9
(x²-5x-24)/(x²-6x-27)=(x+3)(x-8)/(x+3)(x-9)=(x-8)/(x-9)
2
(a²-6)/(a²-2√6a+6)=(a-√6)(a+√6)/(a-√6)²=(a+√6)/(a-√6)