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

Answer:

Option A is correct

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

Step-by-step 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, $2x^2+2xy+20 = 0$