Question 972746

how do you solve this question: "solve. check for extraneous solutions 3sqrt7x-9+11=14? can you please show me how to solve this and how to check for extraneous solutions?
<pre>If {{{3sqrt(7x - 9) + 11 = 14}}}, then {{{highlight_green(x = 10/7)}}}. No EXTRANEOUS solutions here!! 
Determine if so by doing a check by substituting {{{x = 10/7}}} and if the equation bodes FALSE, then an EXTRANEOUS SOLUTION exists.