
To show: The equation

Answer to Problem 108E
The equation
Explanation of Solution
Given information:
The equation
Formula used:
In order to solve a
Step1: Divide the equation by coefficient of
Step 2: Take the square of the half of the coefficient of x and add it to both sides of the equation.
Step 3: Factor the equation.
The standard form of the equation of the circle is
Calculation:
Consider the equation
Recall that in order to solve a quadratic equation, completing the square method is used that transforms the equation in the form of square trinomial.
Step1: Divide the equation by coefficient of
Step 2: Take the square of the half of the coefficient of x and add it to both sides of the equation.
Step 3: Factor the equation.
In the provided equation, divide the entire equation by 3,
Add 1 to both the sides of the equation,
Again add
Group the terms,
Factor out the trinomial, recall that
Apply it,
Recall that the standard form of the equation of the circle is
Convert the equation obtained above in standard form,
Compare,
Here,
Therefore, center of circle is
Thus, the equation
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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