Question

Сократить дробь
x^2-4/x^2+x-6

Answer 1

х²-4 / x²+x-6
x²+x-6
D = 1 + 24 = 25 = 5²
x₁ = -1-5/2 = -3
x₂ = -1+5/2 = 2
x²+x-6 = (x+3)(x-2)
(x-2)(x+2) / (x+3)(x-2) = x+2 / x+3
Ответ: x+2 / x+3