Concept explainers
To find: what are the dimensions of the patio?
Sides:
Thickness:
Given information:
The thickness of the patio is
Formula used:
The Rational Zero Theorem:
If
Calculation:
Let
Thus, the patio's volume is
In (1) used the Distributive Property.
From the text, the volume is
Thus, with us the equation
Subtract
Multiply both sides by
All possible rational solutions are of the form
where
The constant term is
The leading coefficient is
All possible rational solutions are:
Simplify fractions:
Remove duplicates:
Try it
So,
To find other solution and solve the equation
The solution of the equation
Is
Here
However, these numbers are imaginary!
So, the only real solution of the equation from step
Thus, the length of the sides of the patio is 16 inches, and the thickness is
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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