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