Carmen is using the quadratic equation open paren x plus 15 close paren times x is equal to 100 where x represents the width of a picture frame. Which statement about the solutions x is equal to 5 and x is equal to negative 20 is true?

A width must be a positive measurement, so a negative value cannot describe the picture frame’s width. Of the two solutions, x = 5 is reasonable, while x = −20 is unreasonable. Therefore, the statement that x = 5 should be kept and x = −20 rejected is correct.

AI-written and checked against the verified answer.