Solve for x: 4 over x plus 4 over quantity x squared minus 9 equals 3 over quantity x minus 3. (2 points) Select one: a. x = -4 and x = -9 b. x = 4 and x = -9 c. x = -4 and x = 9 d. x = 4 and x = 9

Step-by-step explanation:

Domain:

solution:

use (a - b)(a + b) = a² - b²

multiply both sides by (x - 3) ≠ 0

cancel (x - 3)

subtract from both sides

cross multiply

use FOIL

subtract 4x from both sides

combine like terms

change the signs

The product is 0 if one of the factors is 0. Therefore:

           add 9 to both sides

         subtract 4 from both sides

the answer is c

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