If x=2+√3,Find the value of x …
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Gaurav Seth 4 years, 3 months ago
Question : If x=2-√3, find the value of (x-1/x) of power 3
Answer :
x = 2 - √3--( 1 )
1/x = 1/( 2 - √3 )
= ( 2 + √3 ) / [ ( 2 - √3 )(2 + √3 ) ]
= ( 2 + √3 ) / [ 2² - ( √3 )² ]
= ( 2 + √3 ) / ( 4 - 3 )
= 2 + √3 ----( 2 )
x - 1/x
= 2 - √3 - ( 2 + √3 )
= 2 - √3 - 2 - √3
= - 2√3 ---( 3 )
Therefore ,
( x - 1/x )³ = ( - 2√3 )³
= - 24√3
1Thank You