यदि \(4x^2-12x+5=0\) की जड़ें \(\alpha,\beta\) हैं, तो \(\alpha^3+\beta^3\) का सही मान क्या है?
If \(\alpha,\beta\) are the roots of \(4x^2-12x+5=0\), what is the correct value of \(\alpha^3+\beta^3\)?
Explanation opens after your attempt
Correct Answer
A. \(\frac{63}{4}\)
Concept
Here \(\alpha+\beta=3\) and \(\alpha\beta=\frac{5}{4}\). Thus \(\alpha^3+\beta^3=27-\frac{45}{4}=\frac{63}{4}\).
Why this answer is correct
The correct answer is A. \(\frac{63}{4}\). Here \(\alpha+\beta=3\) and \(\alpha\beta=\frac{5}{4}\). Thus \(\alpha^3+\beta^3=27-\frac{45}{4}=\frac{63}{4}\).
Exam Tip
यहाँ \(\alpha+\beta=3\) और \(\alpha\beta=\frac{5}{4}\) है। \(\alpha^3+\beta^3=27-\frac{45}{4}=\frac{63}{4}\)।
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