12th grade

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factor completely
x^4-16=0

  • Math, not "12th grade" -

    Assistance needed.

    Please type your subject in the School Subject box. Any other words, including obscure abbreviations, are likely to delay responses from a teacher who knows that subject well.

  • 12th grade -

    I would insist that by 12th grade you would recognize the difference of squares pattern.

  • Precalculus -

    Problem x4 - 16 = 0

    FIRST. Make [x4 - 16] a perfect square.

    Dive -16 by two and square that number, add to both sides.

    x4 -16 + 64 = 0 + 64

    SECOND. Solve the equation.

    (Simplify) → (x2 - 8)^2 this equal the left side of the equation.

    so we have
    (x2 -8)^2 = 64

    Then
    Remove the square by taking the square root of 64.
    x2 - 8 = positive or negative 8

    And then find your answers.

  • 12th grade -

    (x-2)(x+2)(x^2+4)= 0
    Giving the solutions
    x= +2;-2;-2i;2i
    (i being the imaginary unit)

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