Answered

which equation represents:

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

A2x^2 + 2xy + 20 = 0
B2x^2 + 2xy − 20 = 0
C2x^2 − 2xy + 20 = 0
D2x^2 − 2xy − 20 = 0

Verified Answer :

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

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, \(2x^2+2xy+20 = 0\)

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