If
and
, then which of the following can be the value of X + Y.
Show answer & explanation
Correct answer: B
Explanation
The correct option is 2.
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or, ![]()
or, X (2 + X) = 1 + X.
or, 2X + X2 = 1 + X.
or, X2 + X − 1 = 0.
or, ![]()
And,
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or, ![]()
or, Y (3 + 2Y ) = 2 + 2Y
or, 3Y + 2Y2 = 2 + Y.
or, 2Y2 + Y − 2 = 0
or, ![]()
So, X + Y =
.(by taking positive roots.)
B is correct choice.