I need the full explanation I'll mark it as brainliest.. wrong one will be reported..
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BEJOICE
We know that if the sum of two non-negative numbers are zero, then each number should be zero. Since square of any quantity is non-negative, (2x - 4)^2 = 0 & (12 - 4y)^2 = 0 Thus, (2x - 4) = 0 & (12 - 4y) = 0 Therefore x = 2 & y = 3.
Answers & Comments
Since square of any quantity is non-negative,
(2x - 4)^2 = 0 & (12 - 4y)^2 = 0
Thus,
(2x - 4) = 0 & (12 - 4y) = 0
Therefore x = 2 & y = 3.
Thus, x^y + y^x = 2^3 + 3^2 = 8 + 9 = 17.
Option: (c)