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The answer to your question is:  x₁ = 9     ;   x₂ = -2, third option

Step-by-step explanation:

The excluded values are those that make the denominator equal to zero.

To find the excluded values, just factor the denominator and equal to zero to find the roots.

Process

                            x² - 7x - 18

- Find to numbers that added gives -7 and multiply -18.

- These numbers are -9 and + 2, because

           -9 + 2 = -7

and    -9 x 2 = -18

                          (x - 9) (x + 2) = 0

                          x₁  - 9 = 0               x₂ + 2 = 0

                         x₁ = 9                      x₂ = -2

Test

            (9)² - 7(9) - 18                      (-2)² - 7(-2) - 18

            81 - 63 - 18                          4 + 14 - 18

            81 - 81                                  18 - 18

            0                                           0

The answer to your question is:  x₁ = 9     ;   x₂ = -2, third option

Step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d