यदि \(x^2-10x-24=0\) के मूल \(\alpha,\beta\) हैं, तो \(\alpha^2\beta+\alpha\beta^2\) क्या होगा?
If the roots of \(x^2-10x-24=0\) are \(\alpha,\beta\), what is \(\alpha^2\beta+\alpha\beta^2\)?
Explanation opens after your attempt
Correct Answer
A. (-240)
Concept
(\alpha-2\beta+\alpha\beta-2=\alpha\beta\(\alpha+\beta\)), where \(\alpha+\beta=10\) and \(\alpha\beta=-24\), so the value is (-240). In exams, factor the expression first.
Why this answer is correct
The correct answer is A. (-240). (\alpha-2\beta+\alpha\beta-2=\alpha\beta\(\alpha+\beta\)), where \(\alpha+\beta=10\) and \(\alpha\beta=-24\), so the value is (-240). In exams, factor the expression first.
Exam Tip
(\alpha-2\beta+\alpha\beta-2=\alpha\beta\(\alpha+\beta\)), जहां \(\alpha+\beta=10\) और \(\alpha\beta=-24\), इसलिए मान (-240) है। परीक्षा में अभिव्यक्ति को पहले factor करें।
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