Solve 5 over x plus 8 equals 3 over x for x, and determine if the solution is extraneous or not. x = 12, non-extraneous x = 12, extraneous x = β12, non-extraneous x = β12, extraneous
Accepted Solution
A:
5 / (x+8) = 3/x Cross-multiplying: 5x = 3(x + 8) 5x = 3x + 24 2x = 24 x = 12 Substituting x = 12 into the given: 5 / (12 + 8) = 3 / 12 1 / 4 = 1 / 4 No undefined values occurred, so x = 12 is non-extraneous, which is the first choice.