72.5k views
0 votes
Find all numbers that must be excluded from (x-2)/(x^(2)+8x+7)

1 Answer

6 votes

Final answer:

To find the numbers that must be excluded from the expression (x-2)/(x^2+8x+7), we set the denominator equal to zero and solve for x: x^2+8x+7 = 0. By factoring the quadratic equation, we find that x=-1 and x=-7 must be excluded.

Step-by-step explanation:

To find the numbers that must be excluded from the expression (x-2)/(x^(2)+8x+7), we need to determine the values of x that would make the denominator equal to zero. This is because division by zero is undefined. To do this, we set the denominator equal to zero and solve for x:

x^(2)+8x+7 = 0

Now we can factor the quadratic equation:

(x+1)(x+7) = 0

Setting each factor equal to zero, we get:

x+1 = 0 ⇒ x = -1

x+7 = 0 ⇒ x = -7

Therefore, the numbers -1 and -7 must be excluded from the expression.

User Mirko Ebert
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.