If x - y = 1 and x2 + y2 = 41 where x, y ≥ 0, then the value of x + y will be: |
9 8 6 7 |
9 |
If x - y = 1 and x2 + y2 = 41 the value of x + y ? ( a - b )2 = a2 + b2 - 2ab ( 1 )2 = 41- 2ab ab = 20 x + y = \(\sqrt {1^2 + 4 × 20}\) = \(\sqrt {81}\) = 9 |