x²-{2(p²+1)/(p²-1)}x +1
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Step-by-step explanation:
Given (p
2
−2p+1)x
2
−(p
2
−3p+2)x+(p
2
−1)=0
(p−1)
2
x
2
−(p−1)(p−2)x+(p−1)(p+1)=0
(p−1)((p−1)x
2
−(p−2)x+(p+1))=0
Given (p
2
−2p+1)x
2
−(p
2
−3p+2)x+(p
2
−1)=0 has more than two roots
since a quadratic equation has maximum of two roots So it means the above equation should be correct for all values of x
⟹p−1=0⟹p=1
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