What is the discriminant \(D\) of the equation \(x^2+2x+1=0\)?
Answer and explanation
Correct answer: 0
In the standard form \(ax^2+bx+c=0\), \(a=1\), \(b=2\), and \(c=1\). Therefore, \(D=b^2-4ac=2^2-4(1)(1)=4-4=0\), so option A is correct. Option D results from taking only \(b^2=4\) and not subtracting \(4ac\). Exam tip: When \(D=0\), the quadratic equation has equal roots.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
In the standard form \(ax^2+bx+c=0\), \(a=1\), \(b=2\), and \(c=1\). Therefore, \(D=b^2-4ac=2^2-4(1)(1)=4-4=0\), so option A is correct. Option D results from taking only \(b^2=4\) and not subtracting \(4ac\). Exam tip: When \(D=0\), the quadratic equation has equal roots.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Methods of Solving Quadratic Equations.
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