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The real roots of what, exactly? If you mean a square trinomial, then:

If the discriminant is positive, the polynomial has two real roots.

If the discriminant is zero, the polynomial has one (double) real root.

If the discriminant is negative, the polynomial has two complex roots (and of course no real roots).

The discriminant is the term under the square root in the quadratic equation, in other words, b2 - 4ac.

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