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find the value of a^3-1/8a^3 ,if a^2+1/4a^2=10

  • math - ,

    a^3 - a^3/8.

    a^2 + a^2/4 = 10.
    Multiply both sides by 4:
    4a^2 + a^2 = 40,
    5a^2 = 40,
    a^2 = 8,
    a = +-2*sqrt2.

    (2*sqrt2)^3 - (2*sqrt2)^3 / 8,
    8(2*sqtr2) - 8(2*sqrt2) / 8,
    8(2*sqrt2) - (2*sqrt2),
    7(2*sqrt2),
    14*sqrt2 = 19.8.

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