if x+1/x=5+2√6 then find √x-1/√x
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Hi ,
x + 1/x = 5 + 2√6
( √x )² + ( 1/√x )² - 2 × √x × ( 1/√x ) = 5 + 2√6
+ 2 × √x × ( 1/√x )
( √x - 1/√x )² = 5 + 2√6 - 2
( √x - 1/√x )² = 3 + 2√6
√x - 1/√x = ± ( √ 3 + 2√6 )
I hope this helps you.
:)
x + 1/x = 5 + 2√6
( √x )² + ( 1/√x )² - 2 × √x × ( 1/√x ) = 5 + 2√6
+ 2 × √x × ( 1/√x )
( √x - 1/√x )² = 5 + 2√6 - 2
( √x - 1/√x )² = 3 + 2√6
√x - 1/√x = ± ( √ 3 + 2√6 )
I hope this helps you.
:)
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