Question

Which equation represents: "Two times an unknown integer, multiplied by the unknown integer minus two times a different unknown integer, equals 50." A) 2x2 + 4xy − 50 = 0 B) 2x2 − 4xy + 50 = 0 C) 2x2 + 4xy + 50 = 0 D) 2x2 − 4xy − 50 = 0

Answer 1

`2 {x}^(2) - 4xy - 50 = 0`

Explanation:

Let the first unknown integer be x

Let the second unknown integer be y

`2x(x - 2y) = 50 \\ 2 {x}^(2) - 4xy - 50 = 0`