Quadtratic Equations and Functions

[ccsissycc]

I'm am currently working on word problems for Quadtratic equations in my Algebra 2 book. The instructions are solve each problem. Approximate any answers involving radicals to the nearest hundredth.

1. Two positive real numbers have a sum of 5 and product of 5. Find the two numbers.

2. A walkway of uniform width has area of 72 meter squared and surrounds a swimming pool that is eight meter wide and 10 meters long. Find the width of the walkway.

Step by step instructions would be very helpful. Thank you.

 

[Denis]

Please show your work. Can't help otherwise.

 

[swaroop]

1) Consider the numbers to be a,b
a+b=5,a*b=5
=> a=5/b
Substitute this in a+b=5 and solve the equation
2)Imagine this with 2 rectangles with width assumed to be x. Imagine how length and width of the strip around the pool be altered in term of x. And you will get a quadratic equation which can be solved. If you still have problem solving it further please explain the steps you have done from which I can try to help you