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March 27, 2017

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solve x^6 - 64 = 0

  • college algebra - ,

    (x+2)(x^2-2x+4)(x-2)(x^2+2x+4)

  • college algebra - ,

    x ^ 6 - 64 = 0 Add 64 to both sides

    x ^ 6 - 64 + 64 = 0 + 64

    x ^ 6 = 64

    x = sixth root of 64

    x = + OR - 2


    Solutions :

    x = - 2

    and

    x = 2

  • college algebra - ,

    since you have a x^6 .... there will be 6 solutions including complex numbers.

    Bosnian gave you the two real roots,
    Monic only factored the expression, using the factored form we can find the 4 complex roots

    x^2 - 2x + 4 = 0
    x^2 - 2x + 1 = -4+1
    (x-1)^2 = -3
    x-1 = ±√3 i
    x = 1 ± √3 i

    In a similar way
    x^2 + 2x + 4 = 0 gives us
    x = -1 ±√3 i

    (when solving quadratics with a coefficient of 1 for the x^2 term and an EVEN middle coefficient, I always use completing the square rather than the formula, it is faster and yields the answer in reduced form)

  • college algebra - ,

    x+8<4 help me self this please,

  • college algebra - ,

    5. Amand Heinl, an IRS auditor, took 45 minutes to process her first tax return. The IRS uses an 85% learning curve.
    C. 2nd return take
    D. 4th return take
    E. 8th return take

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