If a, b and c are integers such that a + b + c = 91 and a*b*c = 729. Determine the value of asquared + bsquared + csquared.
4 answers
use substitution to find the respective values of a, b, and, c then simply square a, b, and c. and add their squares
729 = 3 * 3 * 3 * 3 *3 *3
try combinations of 3 of those such as
9 * 9 * 9
9 + 9 + 9 = 27, well that is not it so try
27 * 3 * 9
27 + 3 + 9 = 39 nope, keep trying
81 * 3 * 3
81 + 3 + 3 = 87 nope, keep trying
By the way, I can not find a solution with positive integers.
try combinations of 3 of those such as
9 * 9 * 9
9 + 9 + 9 = 27, well that is not it so try
27 * 3 * 9
27 + 3 + 9 = 39 nope, keep trying
81 * 3 * 3
81 + 3 + 3 = 87 nope, keep trying
By the way, I can not find a solution with positive integers.
wait so u did find an answer??
I GOT IT!!!!
It's 81, 9, and 1
and the final answer is 6643
It's 81, 9, and 1
and the final answer is 6643