Question

if x=5 +2 root 6 then find x + 1/x

Answer 1

Heya !!!



X = 5+2✓6



1/X = 1/ 5 + 2✓6


1/X = 1/5+2✓6 × ( 5 - 2✓6) / ( 5-2✓6)


1/X = ( 5 - 2✓6) / ( 5+2✓6) ( 5-2✓6)


1/X = ( 5-2✓6) / (5)² - (2✓6)²


1/X = ( 5-2✓6) / 25 - 24


1/X = ( 5-2✓6)



Therefore,



X + 1/X = ( 5 + 2✓6 ) + ( 5-2✓6)


X + 1/X = 5+5 = 10



Hence,


X + 1/X = 10



★ HOPE IT WILL HELP YOU ★

Answer 2

answer of your question is 10 and it solution in the attachment.