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Which expression's sign is used to determine the nature of the roots of a quadratic equation?

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Answer and explanation

Correct answer: \(b^2-4ac\)

For \(ax^2+bx+c=0\), the discriminant \(D=b^2-4ac\) determines root nature. If \(D>0\), roots are distinct real; if \(D=0\), they are equal. In exams, first write the equation in standard form.

Related tags

Quadratic EquationsDiscriminantNature Of RootsClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

\(b^2-4ac\)

Why is this the correct answer?

For \(ax^2+bx+c=0\), the discriminant \(D=b^2-4ac\) determines root nature. If \(D>0\), roots are distinct real; if \(D=0\), they are equal. In exams, first write the equation in standard form.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Roots of a Quadratic Equation.

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