Question
If x – y = 1 and x2 + y2 = 41
where x, y ≥ 0, then the value of x + y will be:Solution
(x - y)² = x² - 2xy + y² x - y = 1 and x2 + y2 = 41 (x - y)² = x² - 2xy + y² 1 = 41 - 2xy xy = 20 now - (x + y)² = x² + 2xy + y² =41+2×20 (x + y)²=81 x+y =9.
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