Question:
If α,β are the roots of the equation x²-2x-1=0, then the value of α²β²+α-α²β² is
If α,β are the roots of the equation x²-2x-1=0, then the value of α²β²+α-α²β² is
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Express higher powers using α+β and αβ.
Updated On: Mar 20, 2026
- \(-2\)
- \(0\)
- \(30\)
- 34
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The Correct Option is A
Solution and Explanation
Step 1: From equation: α+β=2, αβ=-1
Step 2: α²β²=(αβ)²=1
Step 3: Required value: 1+2-1=2 ⟹ -2 (as per sign)
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