Question

сократите дробь х2+43х+462/х+21

Answer 1

Ответ:

x+22.

Объяснение:

$x^{2}+43x+462=0\\D=1849-1848=1\\x_{1}=\frac{1-43}{2}=-21\\x_{2}=\frac{-1-41}{2}=-22\\\frac{x^{2}+43x+462}{x+21}=\frac{(x+21)(x+22)}{x+21}=x+22$

Answer 2

$\displaystyle \tt \frac{x^2+43x+462}{x+21}=\frac{x^2+22x+21x+462}{x+21}=\frac{x(x+22)+21(x+22)}{x+21}=\frac{(x+22)(x+21)}{x+21}=x+22$