What is the discriminant \(D\) of the quadratic equation \(3x^2-11x+2=0\)?
Answer and explanation
Correct answer: 97
In the standard form \(ax^2+bx+c=0\), we have \(a=3\), \(b=-11\), and \(c=2\). Thus, the discriminant is \(D=b^2-4ac=(-11)^2-4(3)(2)=121-24=97\). The value 121 results from failing to subtract \(4ac\). In an exam, identify \(a,b,c\) first and then apply \(D=b^2-4ac\).
Frequently asked questions
What is the correct answer to this question?
97
Why is this the correct answer?
In the standard form \(ax^2+bx+c=0\), we have \(a=3\), \(b=-11\), and \(c=2\). Thus, the discriminant is \(D=b^2-4ac=(-11)^2-4(3)(2)=121-24=97\). The value 121 results from failing to subtract \(4ac\). In an exam, identify \(a,b,c\) first and then apply \(D=b^2-4ac\).
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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