Given that x2+y2=179 and xy=55, what is the value of (x+y)2?
Question
Given that x2+y2=179 and xy=55, what is the value of (x+y)2?
Solution
The value of (x+y)² can be found using the formula (x+y)² = x² + 2xy + y².
We already know that x² + y² = 179 and xy = 55.
Substitute these values into the formula:
(x+y)² = 179 + 2*55 = 179 + 110 = 289.
So, (x+y)² = 289.
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