what
is the
nature of the root
quadbucetic equation
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The discriminant determines the nature of the roots of a quadratic equation. The word 'nature' refers to the types of numbers the roots can be — namely real, rational, irrational or imaginary. Δ is the Greek symbol for the letter D. If Δ<0, then roots are imaginary (non-real) and beyond the scope of this book.
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Clearly, the discriminant of the given quadratic equation is positive and a perfect square. Therefore, the roots of the given quadratic equation are real, rational and unequal. 2. Discuss the nature of the roots of the quadratic equation 2x2 - 8x + 3 = 0.
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