SOLUTION: A photograph has a length that is 2 inches longer than its width, x. So its area is given by the expression x(x+2) square inches. If the area of the photograph is 48 square inches,

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Question 954418: A photograph has a length that is 2 inches longer than its width, x. So its area is given by the expression x(x+2) square inches. If the area of the photograph is 48 square inches, what is the width of the photograph
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!


(((x^2+2x-48=0}}}
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=196 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 6, -8. Here's your graph:

ANSWER: The width is 6 inches.
CHECK:
Length=Width+2=6 in + 2 in=8 in
Area=L*W
48 sq in=8 in*6 in
48 sq in=48 sq in
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