Сократите дробь х-2/х^2+3x-10

Question

Сократите дробь х-2/х^2+3x-10

Answer 1

X²+3x-10=0
D=9+40=49
x₁= -3-7 / 2 = -5
x₂= -3+7 / 2 = 2
x²+3x-10=(x+5)(x-2)
(x-2)/(x+5)(x-2) = 1/(x+5)