SOLUTION: solve: you have made a quilt that is 4ft by 5 ft. you want to use the remaining 10 square feet of fabric to add a decorative border of uniform width. what should the width of the

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Question 278634: solve: you have made a quilt that is 4ft by 5 ft. you want to use the remaining 10 square feet of fabric to add a decorative border of uniform width. what should the width of the border be?
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
4*5=20 ft^2
(4+x)+(5+x)=30 ft^2
20+9x+x^2=30
x^2+9x-10=0
(x+10)*(x-1)=0
x=1
check
5*6=30
ok
add one foot border to each side.
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=121 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1, -10. Here's your graph:
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