Difference between revisions of "Perfect square"
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The sum of the first <math>n</math> square numbers (not including 0) is <math>\frac{n(n+1)(2n+1)}{6}</math> | The sum of the first <math>n</math> square numbers (not including 0) is <math>\frac{n(n+1)(2n+1)}{6}</math> | ||
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== Perfect Square Trinomials == | == Perfect Square Trinomials == | ||
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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>. | ||
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Revision as of 12:03, 29 June 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 
.
This article is a stub. Help us out by expanding it.
