If x +2 y = 10 and 2xy = 9, then one of the value of x − 2y is :
Answer & explanation
Correct answer: option 1
We know that,
If x + y = n
then, x - y = \(\sqrt {n^2 - 4xy}\)
If x +2 y = 10
2xy = 9,
So, xy = 4.5
then one of the value of x − 2y = \(\sqrt {10^2 - 4×2×4.5}\)
x − 2y = \(\sqrt {64}\) = 8