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If discriminant is equal to zero: The quadratic equation has two equal real roots if D = 0. This is because the roots of D = 0 are provided by x = − b ± 0 2 a and 0 would be the square root. The
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The formula for discriminant is, Δ = b 2 – 4ac => Δ = (-2) 2 – 4 (1) (3) =>Δ = 4 – 12 Δ = -8 equation will have no real solutions.