Question

Solve 6/x-3=3/x for x and determine if the solution is extraneous or not.

Answer 1

Are you dividing that 6 by x or are you dividing it by (x-3)? Please use parentheses around the divisor(s) as necessary, so that there is no doubt regarding what comprises your divisor.

Answer 2

is it non-extraneous or extraneous i got -3

Answer 3

@mathmale

Answer 4

You first must answer the question.

6/x-3=3/x

If you mean \(\dfrac{6}{x} - 3 = \dfrac{3}{x}\), then you have written it correctly.

If you mean \(\dfrac{6}{x-3} = \dfrac{3}{x}\), then parentheses are NOT optional. You shoudl have written, 6/(x-3)=3/x

Answer 5

@tkhunny: Many thanks for reinforcing this!