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If x + 1/x= 7 then …

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If x + 1/x= 7 then find tge value of x³+ 1/x³

    • Posted by V Siva 6 years, 6 months ago

    CBSE > Class 09 > Mathematics
    • 2 answers

    Sia ? 6 years, 6 months ago

    It is given that ,
    x + 1/x = 7
    We know the algebraic identity,
    a³ + b³ + 3ab ( a + b ) = ( a + b )³
    or
    a³ + b³ = ( a + b )³ - 3ab( a + b )
    x³ + 1/x³ = (x + 1/x )³- 3 × x ×1/x(x + 1/x )
    = ( x + 1/x )³ - 3( x + 1/x )
    = 7³ - 3 × 7
    = 7( 7² - 3 )
    = 7 ( 49 - 3 )
    = 7 × 46
    = 322

    1Thank You

    V Siva 6 years, 6 months ago

    The*

    0Thank You

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