Question

If x+1/x=5 then find the value of x2+1/x2

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\huge \underline \mathbb {SOLUTION:-}$

Given:

• x + 1 /x = 5

We need to find x² + 1 / x²

( x + 1 / x )2 = 25

= x² + 1 / x² + 2 (x)(1)(1/x) = 25

= x² + 1/x² + 2 = 25

= x² + 1 / x² = 25 - 2

= x² + 1 / x² = 23

• Hence x² + 1 / x² = 23

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$