There are many ways: one is to factorise.
If the quadratic is written as ax2 + bx + c
then, if b2 = 4ac, the quadratic is a perfect square.
It is (x - b/2a)2
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Rational.
Square
By using the quadratic equation formula or by completing the square
By using the quadratic equation formula
In that case, the discriminant is not a perfect square.