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- The nature of roots of a quadratic equation can be determined by evaluating the discriminant (delta), Δ = b^2 - 4ac, which is the expression under the square root in the quadratic formula12. If Δ = 0, the roots are real and equal; if Δ > 0, the roots are real and unequal; if Δ < 0, the roots are unreal or complex2. The word ‘nature’ refers to the types of numbers the roots can be — namely real, rational, irrational or imaginary1.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.The discriminant is defined as (Delta = {b}^ {2}-4ac). This is the expression under the square root in the quadratic formula. 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.www.siyavula.com/read/za/mathematics/grade-11/…Here's how: you can tell about the nature of the roots by evaluating the discriminant (delta), Δ = b 2 - 4ac upon plugging in it, a, b, and c of the quadratic equation ax 2 + bx + c = 0. If Δ = 0, the roots are real and equal; if Δ > 0, the roots are real and unequal; if Δ < 0, the roots are unreal or complex.www.mathworksheets4kids.com/nature-of-roots.php
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Jan 8, 2024 · In Grade 11 Mathematics, one of the topics covered is the Nature of Roots of quadratic equations. A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants, and x is the variable.
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Feb 24, 2021 · This is a grade 11 Mathematics lesson on, " The Nature of Roots of Quadratic Equations". In this lesson how to determine, "The Nature of Roots of Quadratic Equations", is explained. In this lesson word problems are also …
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