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The Quadratic Formula

These problems involve quadratic equations which are not factorable and can be solved by use of the quadratic formula, although some students may choose
to complete the square.
 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 Continued Fraction
 Ethel Breuche

Algebra, difficulty level 4. Find the value of a given continued fraction.
... more>>

An Expanding Circle
 Steve Risberg

Algebra, difficulty level 2. When the radius of a circle increases by 6 inches, the area increases
by 125%. Find the original radius.
... 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>>

Throw It Down!
 Steve Risberg

Algebra, difficulty level 3. Kelvin leaps high to dunk a basketball. How long are his hands high
enough above the rim for him to dunk?
... more>>
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