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DochEvi [55]
3 years ago
10

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 =
Mathematics
2 answers:
Art [367]3 years ago
7 0

Answer:

The answer is 8.

Step-by-step 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

brilliants [131]3 years ago
4 0

Answer:

x = 8

width = 8 inches

length = 13 inches

Step-by-step explanation:

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