If the discriminant is zero, then the two roots of the quadratic equation are equal. That's just another way of saying that the quadratic expression is a perfect square.
When the value of the discriminant is zero for a quadratic equation, it indicates that there is exactly one real root, also known as a double root. This means the quadratic expression has a repeated root and the graph touches the x-axis at a single point. For example, the equation x 2 − 4 x + 4 = 0 has a repeated root at x = 2 .
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