Solve the following equation, identifying the domain restrictions, and checking your answers. Must show check for each solution

Question

asked Aug 1, 2023 178k views

1 Answer

Maged Makled · Answer 1 · 2023-08-04T23:41:07+0000

Answer: 4, 5

Explanation:

The domain restrictions are
$x \\eq 1$ and
$x \\eq -3$ since those are the values of x for which the denominators equal 0.

To solve, we can start by cross multiplying:

$(x+3)(x+2)=7(2x-2)\\x^(2)+5x+6=14x-14\\x^(2)-9x+20=0\\(x-4)(x-5)=0\\x=4, 5$