Question

A rectangle 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 =

Answer 1

x = 8

width = 8 inches

length = 13 inches

Explanation:

Answer 2

The answer is 8.

Explanation:

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

Where

`x=\frac{-b +/- \sqrt{b^(2)-4*a*c } }{2a}`

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