Question

if x=7+4√3 then find the value of x +1/x

Answer 1

Heya !!!



X = 7 + 4✓3



1/X = 1/ 7 + 4✓3



1/X = 1/ 7 + 4✓3 × ( 7-4✓3) / ( 7-4✓3)



1/X = ( 7 - 4✓3) / ( 7 + 4✓3) ( 7-4✓3)



1/X = ( 7 -4✓3) / (7)² - (4✓3)²



1/X = ( 7 - 4✓3) / 49 - 48


1/X = 7-4✓3/1


1/X = 7-4✓3



Therefore,


X + 1/X = ( 7 + 4✓3) + ( 7-4✓3)




X + 1/X = 7 + 7 = 14




★ HOPE IT WILL HELP YOU ★

Answer 2

Heya!!

★Answer★

Given,

x=7+4√3

Now,

1/x

={1 / 7+4√3}

={1 × (7-4√3) / (7+4√3) (7-4√3)}

={ (7-4√3) / (7)^2-(4√3)^2 }

={ (7 - 4√3) / (49) - (16×3)}

={ (7-4√3) / (49-48) }

= { (7-4√3) / 1 }

= (7-4√3)

So,

(x+1/x)

=7+4√3+7-4√3 [Cause ,1/x=(7-4√3)]

=14

$hope \: my \: answer \: helped$

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