Arectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. the equation (x + 5)x = 104 represents the situation, where x represents the width of the rectangle. (x + 5)x = 104 x2 + 5x – 104 = 0 determine the solutions of the equation. what solution makes sense for the situation? x =

The answer is 8.

Step-by-step explanation:

We need to use the quadratic formula, that is ax2+bx+c=0

Where

For the given equation x2+5x-104=0 we have

a=1, b=5, c= -104

If you solve that, we will have x=-13. x=8, two answers,

The first one, by being negative does not have physical sense (there are no negatives quantities when you measure the length of something)

So we use the anwser x=8

1. minimum

2. 6400

3. eight

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