Question

if x+1/x=7 then x^2+1/x^2=?

please tell the answer of this question ​

Answer 1

Answer:

47

Step-by-step explanation:

THANK YOU HOPE IT HELPS YOU

Answer 2

Step-by-step explanation:

To find \(x^2 + \frac{1}{x^2}\), we can square the equation \(x + \frac{1}{x} = 7\) and simplify the expression:

\((x + \frac{1}{x})^2 = 7^2\)

Expanding the left side:

\(x^2 + 2x \cdot \frac{1}{x} + \frac{1}{x^2} = 49\)

Simplifying:

\(x^2 + 2 + \frac{1}{x^2} = 49\)

Now, subtract 2 from both sides:

\(x^2 + \frac{1}{x^2} = 49 - 2\)

\(x^2 + \frac{1}{x^2} = 47\)

So, \(x^2 + \frac{1}{x^2} = 47\) when \(x + \frac{1}{x} = 7\).