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If the quadratic equation \(ax^2+bx+c=0\), where \(a\ne0\), has two equal real roots, what is the value of its discriminant?
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Answer and explanation
Correct answer: \(b^2-4ac=0\)
For a quadratic equation, the discriminant is \(D=b^2-4ac\). When \(D=0\), both roots are equal and real, with root \(-b/(2a)\). If \(D>0\), the roots are distinct real roots. Exam tip: identify the sign of the discriminant first.
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What is the correct answer to this question?
\(b^2-4ac=0\)
Why is this the correct answer?
For a quadratic equation, the discriminant is \(D=b^2-4ac\). When \(D=0\), both roots are equal and real, with root \(-b/(2a)\). If \(D>0\), the roots are distinct real roots. Exam tip: identify 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: Roots of a Quadratic Equation.
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