Question

Помогите! при каких значениях переменной дробь не имеет смысла: 25a+4/a(a-4)(a+10)

Answer 1

$\frac{25a+4}{a(a-4)(a+10)}$
1) Дробь не имеет смысла, если её знаменатель равен 0.
2) Произведение равно 0, если хотя бы 1 множитель равен 0.
$a \neq 0$ и $a-4 \neq 0$ и $a+10 \neq 0$
$a \neq 0$ и $a \neq 4$ и $a \neq -10$
Ответ: -10, 0, 4.

Answer 2

When does the variable "a" make the expression undefined?

The given expression is: 25a^4 / a(a-4)(a+10).

The variable "a" makes the expression undefined when it causes a division by zero. In this case, the expression will be undefined if "a" makes any of the denominators equal to zero.

The expression will be undefined if: 1. a = 0 (since division by zero is undefined). 2. a = 4 (since it would make the term (a-4) in the denominator equal to zero). 3. a = -10 (since it would make the term (a+10) in the denominator equal to zero).

Therefore, the expression is undefined for the values of a = 0, 4, and -10.