Question

13. If x +1/x
= 5, evaluate x²+1/x²

​

Answer 1

Answer:

23

Step-by-step explanation:

square on both sides,

$(x +1/x)^{2}$ = $5^{2}$

$x^{2}$ + $1/x^{2}$+2=25

$x^{2}$ + $1/x^{2}$=23

Answer 2

x +1/x= 5

x+1=5x

4x=1

so, x=1/4

Now, x²+1/x² =[(1/4) ^2 +1]/(1/4) ^2

=17/16 ×16

=17

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