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If \(\alpha,\beta\) are roots of \(2x^2-9x+4=0\), what is \((\alpha-\beta)^2\)?
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Answer and explanation
Correct answer: \( \frac{65}{4}\) / \(\frac{65}{4}\)
\((\alpha-\beta)^2=(\alpha+\beta)^2-4\alpha\beta=\left(\frac{9}{2}\right)^2-8=\frac{65}{4}\). In exams, use this identity for square of difference.
Frequently asked questions
What is the correct answer to this question?
\( \frac{65}{4}\) / \(\frac{65}{4}\)
Why is this the correct answer?
\((\alpha-\beta)^2=(\alpha+\beta)^2-4\alpha\beta=\left(\frac{9}{2}\right)^2-8=\frac{65}{4}\). In exams, use this identity for square of difference.
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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