यदि \(x^2-3x-10=0\) के मूल \(\alpha\) और \(\beta\) हैं तो \(\alpha^2\beta+\alpha\beta^2\) का मान क्या है?
If \(\alpha\) and \(\beta\) are roots of \(x^2-3x-10=0\), what is the value of \(\alpha^2\beta+\alpha\beta^2\)?
Explanation opens after your attempt
Correct Answer
A. (-30)
Concept
(\alpha-2\beta+\alpha\beta-2=\alpha\beta\(\alpha+\beta\)). Here \(\alpha\beta=-10\) and \(\alpha+\beta=3\), so the value is (-30).
Why this answer is correct
The correct answer is A. (-30). (\alpha-2\beta+\alpha\beta-2=\alpha\beta\(\alpha+\beta\)). Here \(\alpha\beta=-10\) and \(\alpha+\beta=3\), so the value is (-30).
Exam Tip
(\alpha-2\beta+\alpha\beta-2=\alpha\beta\(\alpha+\beta\)) होता है। यहां \(\alpha\beta=-10\) और \(\alpha+\beta=3\) इसलिए मान (-30) है।
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