Math Forum - Problems Library - Algebra, Quadratics: Completing the Square

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quadratic equations
factoring
completing the square
quadratic formula

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Completing the Square
These problems involve quadratic equations which are not factorable and can be solved by completing the square, although some students may choose to use the quadratic formula.

Related Resources
Interactive resources from our Math Tools project:
   Algebra: Quadratic Equations
The closest match in our Ask Dr. Math archives:
   Quadratic Equations
NCTM Standards:
   Algebra Standard for Grades 9-12

Access to these problems requires a Membership.

All Wet - Linda Benton
Algebra, difficulty level 3. Solve simultaneous equations, find area, and use the Pythagorean theorem and percentages to find the spraying distance needed for a circular sprinkler in a rectangular yard. ... more>>

The Length of Larry's Rectangle - Larry Sue
Algebra, difficulty level 2. Larry wants to know the length of his rectangle. Can you help him? ... more>>

Poolish Pride? - Steve Risberg
Algebra, difficulty level 3. Two competitive brothers build rectangular pools of similar shape but different size. Given some information relating the lengths and widths, find the area of the larger pool. ... more>>

Reciprocals - Steve Risberg
Algebra, difficulty level 3. Explore the numeric difference between numbers and their reciprocals. ... more>>

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