If 2a + b = 10, 2ab = 9, and 2a > b, then find the value of 2a – b.

12 6 8 10

8

We know that, If x + y  = n then, x - y  = \(\sqrt {n^2 - 4xy}\) If 2a + b = 10, 2ab = 9, and 2a > b, then find the value of 2a – b So, if 2ab = 9, then, ab = 4.5 and the value of 2a – b = \(\sqrt {10^2 - 4(2)(4.5)}\) = \(\sqrt {10^2 - 4(2)(4.5)}\) = \(\sqrt {64}\) = 8