Question

if 5-√21/2 find the value of x+1/x​

Answer 1

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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

Hope this helps you miss bhuvana kruthi