Consider the equation #log_10 |x^3 +y^3| - log_10 |x^2-xy +y^2| +log_10 |x^3-y^3| - log _10 |x^2+xy+y^2| = log_10(221)#. If #x+y=17#, then the sum of all possible values of #x# is?
1 Answer
Jul 14, 2018
Explanation:
We have,
Similarly,
Utilising these, the given eqn. becomes,
But, we are given that,
Then, by
Solving
Thus, the only possible values of
Hence, the desired sum is