Perfect square
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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
An integer is a perfect square iff it is a quadratic residue modulo all but finitely primes.
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
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