Question

if x+1/x=7 then find the value of x2 +1/x2​

Answer 1

Answer:

We have,

x−

x

1

=7

On squaring both sides, we get

x

2

+

x

2

1

−2=49

x

2

+

x

2

1

=51

Hence, this is the answer.

Step-by-step explanation:

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Answer 2

Answer:

$x^2 +\frac{1}{x^2} = 47$

Step-by-step explanation:

$Given \\x +\frac{1}{x} = 7\\(x +\frac{1}{x})^2= x^2 +\frac{1}{x^2} + 2 x*\frac{1}{x}\\x^2 +\frac{1}{x^2} = (x +\frac{1}{x})^2 -2\\x^2 +\frac{1}{x^2} = (7)^2 -2\\x^2 +\frac{1}{x^2} = 49 -2\\x^2 +\frac{1}{x^2} = 47$