

3.5 Solving Quadratic Equations by Completing the Square
Presentation
•
Mathematics
•
10th - 12th Grade
•
Easy
Standards-aligned
Caitlin Carlsen
Used 11+ times
FREE Resource
4 Slides • 5 Questions
1
3.5 Solving Quadratic Equations by Completing the Square

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Solving by Square Root
If we can arrange a quadratic to be something squared on one side, and a number on the other: x2−4=0
Also called the Square Root Property3
The Special Quadratic:
Remember
a2±2ab+b2=(a±b)(a±b)OR: (a±b)2
So now we can use this to solve in special cases
Ex: x2−8x+16=25
4
Let's do another
4x2−20x−25=32
5
Open Ended
Solve using the square root property:
x2=96
Open Ended
Solve using the square root property:
2x2−32=07
Open Ended
Solve by factoring then using the square root property:
x2−18x+81=498
Open Ended
Solve by factoring then using the square root property:
25x2+40x+16=289
Open Ended
Solve by factoring then using the square root property:
16x2+24x+9=−813.5 Solving Quadratic Equations by Completing the Square

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