Question

(x^2-7x-18)/(x+2) = x-9

A. The equation reduces to x = ___. This is the only solution to the equation.

B. The equation reduces to an identity. The solution is all real numbers except ___.

Answer 1

A: x = all real numbers

B: the solution is all real numbers except x = 2

Explanation:

hope it helps

Answer 2

A: x = AllRealNumbers

B: The solution is all real numbers except x = 2

Explanation:

Part A:

(x^2 - 7x - 18)/(x + 2) = x - 9

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

x - 9 = x - 9

x = AllRealNumbers

Part B:

Since the denominator is (x + 2), the only solution that will cause the equation to be undefined is x = 2.