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Find the quadratic equation with rational coefficients when one root is 1/(2 + √5)
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Answer:-
- 1 root is αlpha = 1/(2 + √5) = √5 – 2
And, βeta = 1/(2 – √5) = -√5 – 2
- Roots form αlpha + βeta = -4 and roots αlpha βeta = -1
- (So, x2 + 4x – 1 = 0)
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sinchan here
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