Question

If 2^x+y=2^x-y=√8 find the value of x and y

Answer 1

Answer :

Step-by-step explanation:

2^(x+y) = 2(x-y) =_/8

2^(x+y) = 2(x-y) = (2_/2 = 2×2^1/2 = 2(2^1/2))

therefore, x+y = x-y = 1/2 ( when bases are same, powers are equated)

x will get cancelled on both sides, remaining

y = -y = 1/2

so, y = 1/2 and x = 0