SOLUTION: I need help with a quadratic word problem. Picture framing: the matting around the picture has a uniform width. How wide is the matting if its area equals the area of the pictu

Question 876709: I need help with a quadratic word problem.
Picture framing: the matting around the picture has a uniform width. How wide is the matting if its area equals the area of the picture? round to the nearest hundredth of an inch. The picture is 5inches by 4 inches, thanks

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let x = the width of the matting.
The area of the picture = area of matting = 5*4 = 20
(2x+5)(2x+4)= 40 in^2
4x^2+18x+20=40
4x^2+18x-20=0
x=0.92"
.
Ed
.

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=644 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.92214438511238, -5.42214438511238. Here's your graph:

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