if x²-7x+1=0 find x²+1/x²
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Answer:
The value is 47.
Step-by-step explanation:
Given,
= x²-7x+1 = 0
Dividing all the terms by x.
= x-7+1/x = 0
= x+1/x = 7
= (x+1/x)² = x²+ 1/x² +2
= 7² = x²+ 1/x² +2
= 49 = x²+ 1/x² + 2
= 47 = x²+ 1/x²
Hope this helps.
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