Question

Установите при каких значениях переменной не имеет смысла алгебраическая дробь. а-5 ---- = а+5

Answer 1

При а = -5
т.к. при а = -5 знаменатель дроби обращается в 0

Answer 2

Understanding the Question

The question asks for the values of the variable 'a' for which the algebraic fraction (a-5)/(a+5) does not make sense.

Answer

The algebraic fraction (a-5)/(a+5) does not make sense when the denominator (a+5) equals zero. This is because division by zero is undefined in mathematics. Therefore, we need to find the values of 'a' that make the denominator zero.

To find these values, we can set the denominator equal to zero and solve for 'a':

(a+5) = 0

Subtracting 5 from both sides of the equation, we get:

a = -5

Therefore, the value of 'a' that makes the algebraic fraction (a-5)/(a+5) undefined is a = -5.

Conclusion

The algebraic fraction (a-5)/(a+5) does not make sense when 'a' is equal to -5, as this would result in division by zero. For all other values of 'a', the fraction is defined and can be evaluated.