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If \(a\ne0\), what is the condition for the quadratic equation \(ax^2+bx+c=0\) to have two equal real roots?
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Answer and explanation
Correct answer: \(b^2=4ac\)
The discriminant is \(D=b^2-4ac\). Equal real roots require \(D=0\), so \(b^2=4ac\). If \(D>0\), the roots are distinct real roots. Exam tip: determine the nature of roots from the sign of the discriminant first.
Frequently asked questions
What is the correct answer to this question?
\(b^2=4ac\)
Why is this the correct answer?
The discriminant is \(D=b^2-4ac\). Equal real roots require \(D=0\), so \(b^2=4ac\). If \(D>0\), the roots are distinct real roots. Exam tip: determine the nature of roots from the sign of the discriminant first.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Nature of Roots.
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