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 .
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