Carmen is using the quadratic equation (x + 15)(x) = 100 where x represents the width of a picture frame. Which statement about the solutions x = 5 and x = –20 is true?

A width must be positive, so a negative solution cannot describe the picture frame. Of the two solutions, x = 5 is reasonable and x = –20 is unreasonable. Therefore, keep x = 5 and reject x = –20.

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