Question

If X=4+√15,then find the value of [x+1 upont x]

Answer 1

Heya !!



X = ( 4 + ✓15 )




1/X = 1 / (4 + ✓15 )




1/X = 1/ ( 4 + ✓15 ) × ( 4 - ✓15 ) / ( 4 - ✓15 )





1/X = ( 4 - ✓15) / ( 4 + ✓15 ) ( 4 + ✓15 )




1/X = ( 4 - ✓15 ) / (4)² - (✓15)²


1/X = ( 4 - ✓15 ) / 16 - 15




1/X = ( 4 - ✓15 )/1



1/X = ( 4 - ✓15 )




Therefore,




X + 1/X = ( 4 + ✓15 ) + ( 4 - ✓15 )





X + 1/X = 8.

Answer 2

here is your answer...
8
hope this helps you....