Math, asked by Anonymous, 4 months ago

If x² - 7x + 1 = 0, find x²+1/x². ​

Answers

Answered by Anonymous
4

Answer:

 \huge \underline \mathfrak \red{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 it will help you. ....

Answered by Anonymous
10

\huge\boxed{{Answer}}

{{The_ value_is_47}}

= 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

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