if x=3√2+1/3√2 then x ^3-3x =?? plzz solve immediately
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GAnshu1:
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no it is wrong
i guaranteed
oh
i am from gujarat but at this due to my dad's job i am in meerut , up
ok.. then i write ur answer only
oh
ok
thnks for ur hlp bro
ok
Answered by
5
★Heya★
x = 3√2 + 1/3√2
Cubing on both sides we have
=>
x³ = ( 3√2 + 1/3√2 )³
=>
x³ = (3√2)³ + (1/3√2)³ + 3 × ( 3√2 ) × ( 1/3√2 ) { 3√2 + 1/3√2 }
Becoz ( a + b )³ = a³ + b³ + 3ab ( a + b )
=>
x³ = 54√2 + (54√2/18³ ) + 3 ( x )
=>
x³ - 3x = 54√2 { 1 + 1/18³}
=>
x³ - 3x = 57√2 { 5833 }/5832
=>
x = 3√2 + 1/3√2
Cubing on both sides we have
=>
x³ = ( 3√2 + 1/3√2 )³
=>
x³ = (3√2)³ + (1/3√2)³ + 3 × ( 3√2 ) × ( 1/3√2 ) { 3√2 + 1/3√2 }
Becoz ( a + b )³ = a³ + b³ + 3ab ( a + b )
=>
x³ = 54√2 + (54√2/18³ ) + 3 ( x )
=>
x³ - 3x = 54√2 { 1 + 1/18³}
=>
x³ - 3x = 57√2 { 5833 }/5832
=>
its wrong... the correct one is 1/2
wait.
ok
I think it's Ans won't be 1/2
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