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a.
To solve the equation with graphing method.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 67E
Graph:
Explanation of Solution
Given:
Equation:
Calculation:
Converting the equation in standard form:
So,
On comparing the equation with
Step:1 Finding the axis of symmetry.
So,
Therefore,
Step:2
Step:3
Find the plotting points:
For
So,
So,
Again, for
So,
So,
Again, for
So,
So,
Therefore plotting points are:
x | -1 | -6 | 1 |
y | -21 | -46 | 3 |
Plot the graph:
Plot all the points and axis of symmetry.
b.
To solve the equation with completing the square method.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 67E
Explanation of Solution
Given:
Equation:
Calculation:
Converting the equation in standard form:
So,
Taking constant on one side
Taking square half of coefficient of
i.e.
so,
Adding this on both side,
Therefore,
Solving right hand side,
So,
Therefore ,
So,
c.
To determine which method is better.
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 67E
Completing the square method.
Explanation of Solution
Completing the square method is more preferable because it is easy and efficient.
Chapter 9 Solutions
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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