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Algebra problem (23) |  |
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A and B are constants.
If
x2 + xy = A .....1)
xy + y2 = B .....2)
then calculate the values of x and y.
Solution
..1) + ..2) :x2 + 2xy + y2 = A + B
(x + y)2 = A + B
..1) - ..2)
x2 - y2 = A - B
(x - y)(x + y) = A - B
Add:
Subtract:
