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Solve by factoring.

2x^4 + x^2 = 1

  • Algebra -

    Follow these steps:
    1.Move all terms to one side of the equation, usually the left, using addition or subtraction.
    2.Factor the equation completely.
    3.Set each factor equal to zero, and solve.
    4.List each solution from Step 3 as a solution to the original equation.

  • Algebra -

    I understand that. Problem is that I am not getting the same answer as the book.

    Sqrt 2/2 and - sqrt 2/2

  • Algebra -

    x= } 1/ã2

  • Algebra -

    Substitute y=x²
    Solve to get
    y=-1 or y=1/2
    if x²=-1, x=±i
    if x²=1/2, x=±(1/2)=±(√2)/2

  • Algebra - typo -

    if x²=1/2, x=±√(1/2)=±(√2)/2

  • Algebra -

    Thanks! got it.

  • Algebra -

    You're welcome!

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