Question

Which equation represents:

"An unknown integer, multiplied by two times itself, plus two times a different unknown integer, equals negative 20."
A) 2x^2 + 2xy + 20 = 0
B) 2x^2 + 2xy − 20 = 0
C) 2x^2 − 2xy + 20 = 0
D) 2x^2 − 2xy − 20 = 0

Answer 1

A, expect the second term (2xy) should be just 2y

Answer 2

Option A is correct

`2x^2+2xy+20 = 0`

Explanation:

Let x and y be two unknown integers.

As per the statement:

"An unknown integer, multiplied by two times itself, plus two times a different unknown integer, equals negative 20."

"An unknown integer, multiplied by two times itself" translated to
`2x^2`

"Two times a different unknown integers" translated to
`2xy`

"negative 20" means -20

then, our equation becomes:

`2x^2+2xy = -20`

Add 20 to both sides we have;

`2x^2+2xy+20 = 0`

Therefore, the equation represents is,
`2x^2+2xy+20 = 0`