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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 912
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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