Difference between revisions of "Perfect square"
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For any quadratic equation in the form <math>ax^2+bx+c</math>, it is a perfect square trinomial [[iff]] <math>b=a\sqrt{c}</math>. | For any quadratic equation in the form <math>ax^2+bx+c</math>, it is a perfect square trinomial [[iff]] <math>b=a\sqrt{c}</math>. | ||
| + | |||
| + | ==See also == | ||
| + | * [[Perfect cube]] | ||
| + | * [[Perfect power]] | ||
{{stub}} | {{stub}} | ||
Revision as of 18:29, 20 November 2006
An integer 
is said to be a perfect square if there is an integer 
so that 
. The first few perfect squares are 0, 1, 4, 9, 16, 25, 36.
The sum of the first square numbers (not including 0) is 
Perfect Square Trinomials
Another type of perfect square is an equation that is a perfect square trinomial. Take for example
.
Perfect square trinomials are a type of quadratic equation that have 3 terms and contain 1 unique root.
For any quadratic equation in the form 
, it is a perfect square trinomial iff 
.
See also
This article is a stub. Help us out by expanding it.
