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# fp1 roots of a quadratic

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1. (x2)-3x+1=0 with roots a and b

show that a4 +b4= (a2 +b2)^2 - 2(ab)^2 having trouble with this proof can anyone help me with this
2. X=3+/- root5 all over 2 using completing the square or quadratic formula then sub in to equation and both sides should be equal? Not sure though

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3. The other answer seems far more complicated so I'm gonna assume mine was wrong

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4. Just expand the RHS, it's an identity. So just expand .
5. (Original post by Foreverton)
The other answer seems far more complicated so I'm gonna assume mine was wrong

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No, it's a different technique but it wasn't really suited to this problem I felt.
6. cheers i see it now
(Original post by B_9710)
Just expand the RHS, it's an identity. So just expand .

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