Question

x= 5-√21/2 find the value of x^2 + 1/x^2​

Answer 1

Answer:

Step-by-step explanation:

Given ,

x = (5 - √21)/2

1/x = 2/(5 -√21)

=2(5 + √21)/(5 -√21)(5 + √21)

= (5 + √21)/2

hence,

x + 1/x = (5 -√21)/2 + (5+√21)/2 =5

x² + 1/x² = (x + 1/x)² -2x.1/x

= (x + 1/x)² -2

=(5)² -2

= 23

Answer 2

Answer:

the answer will be 25 not 23 we don't have to subtract 2 from 25