What is the discriminant \(D\) of the equation \(x^2-6x+8=0\)?
Answer and explanation
Correct answer: 4
For a quadratic equation \(ax^2+bx+c=0\), the discriminant is \(D=b^2-4ac\). Here, \(a=1\), \(b=-6\), and \(c=8\), so \(D=(-6)^2-4(1)(8)=36-32=4\). Therefore, the correct answer is 4. A discriminant of 0 would indicate equal roots, which is not the case here. Exam tip: identify the signs of \(a\), \(b\), and \(c\) carefully before substituting.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
For a quadratic equation \(ax^2+bx+c=0\), the discriminant is \(D=b^2-4ac\). Here, \(a=1\), \(b=-6\), and \(c=8\), so \(D=(-6)^2-4(1)(8)=36-32=4\). Therefore, the correct answer is 4. A discriminant of 0 would indicate equal roots, which is not the case here. Exam tip: identify the signs of \(a\), \(b\), and \(c\) carefully before substituting.
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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