If 2x2 – 28x = –98, then x could equal which of the fol-

Question

lowing?

A.
14 only
B.
7 only
C.
–7 only
D.
–7 or 7 only
E.
–14 or 14 only

Answer 1

To solve the equation 2x^2 - 28x = -98, we first need to simplify the equation by dividing both sides by 2:

x^2 - 14x = -49

Next, we subtract -49 from both sides of the equation:

x^2 - 14x + 49 = 0

This equation can be factored as (x - 7)(x - 7) = 0, or (x - 7)^2 = 0.

Therefore, the only possible value for x is 7 (option B).