SOLUTION: A 10 by 14 meter garden will have a sidewalk of width x along the two 14 meter sides and width 2x along the two 10 meter sides. Approximate (to the nearest hundredths) the value of

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Question 849083: A 10 by 14 meter garden will have a sidewalk of width x along the two 14 meter sides and width 2x along the two 10 meter sides. Approximate (to the nearest hundredths) the value of x that will make the area covered by sidewalks and the garden total 174 Square meters. (My teacher said to use the quadratic formula as well)
So I did (4x+10)(2x+14)=174 Ending up with
At this point I'm stuck on how to continue by using the quadratic equation.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A 10 by 14 meter garden will have a sidewalk of width x along the two 14 meter sides and width 2x along the two 10 meter sides. Approximate (to the nearest hundredths) the value of x that will make the area covered by sidewalks and the garden total 174 Square meters. (My teacher said to use the quadratic formula as well)
So I did (4x+10)(2x+14)=174 Ending up with
At this point I'm stuck on how to continue by using the quadratic equation.
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
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=6864 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.428078794301995, -9.928078794302. Here's your graph:

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