Question:
If α,β are the roots of
x²-2x-1=0,
then the value of α²β²-α²-β² is
If α,β are the roots of
x²-2x-1=0,
then the value of α²β²-α²-β² is
Show Hint
Express higher powers of roots using sum and product.
Updated On: Mar 19, 2026
- \(-2\)
- \(0\)
- \(30\)
- 34
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Verified By Collegedunia
The Correct Option is A
Solution and Explanation
α+β=2, αβ=-1
α²+β²=(α+β)²-2αβ=4+2=6
α²β²=(αβ)²=1
Thus,
1-6=-2
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