

a2 Completing the square--converting to easy
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Mathematics
•
11th Grade
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2 Slides • 11 Questions
1
a2 Completing the square--converting to easy

2
Open Ended
The problem x2 + 4x - 7 = 0 is "easy" to solve by completing the square because:
3
So the problem 5x2 + 3x - 7 = 0 is "not easy" to solve because:
5x2 is not a perfect square
the 3 in front of the 3x is odd, so you will get a fraction if you split it into 2 equal pieces
4
Poll
What number should we multiply 5x2 by to "create" a perfect square?
3
4
5
7
5
Multiple Choice
If we multiply the polynomial equation 5x2 + 3x - 7 = 0 by 5, the resulting polynomial equation will be:
25x2 + 3x - 7 = 0
25x2 + 15x - 7 = 0
25x2 + 15x - 35 = 0
25x2 + 15x - 35 = 5
6
Poll
What number should we multiply the polynomial 25x2 + 15x - 35 = 0 by to preserve the square first term, but create an even middle term?
2
3
4
5
7
Multiple Choice
If we multiply the polynomial equation 25x2 + 15x - 35 = 0 by 4, the resulting polynomial equation will be:
100x2 + 12x - 28 = 0
100x2 + 60x - 140 = 0
25x2 + 60x - 35 = 0
25x2 + 60x - 140 = 0
8
Multiple Choice
To solve, you would rewrite as 100x2 + 70x + ____ = 140 + ____. What would your box look like?
9
Multiple Choice
To solve, you would rewrite as 100x2 + 70x + ____ = 140 + ____. What would your finished box look like?
10
Fill in the Blanks
To solve, you would fill in the blanks with 9 and have,
100x2 + 70x + 9 = 140 + 9. Then you would rewrite it as a perfect
square binomial. What would the rewritten problem look like?
(10x + 3)2 = 149
Type answer...
11
Multiple Select
What would your next steps include in solving the equation
(10x + 3)2 = 149
Check all that apply:
Take the square root of both sides
add a +/- in front of the square root of 149
subtract 3 from both sides
add 10 to both sides
12
Multiple Choice
What would the final solutions to the equation
(10x + 3)2 = 149
be:
13
Open Ended
Reflect on what you learned from completing this lesson.
What did it solidify in your learning?
How did you like the format?
How could it have been improved?
a2 Completing the square--converting to easy

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