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Math Help - Find All Real Solutions

  1. #1
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    Find All Real Solutions

    Find all real sollutions of the equation exactly.y^4 - 7y^2 + 6 = 0
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  2. #2
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    To solve this problem, you should use a dirty trick: "see" this problem as a quadratic in some variable. Do you follow me?
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  3. #3
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    Quote Originally Posted by Ackbeet View Post
    To solve this problem, you should use a dirty trick: "see" this problem as a quadratic in some variable. Do you follow me?
    I don't know what you mean. Can you show me what to do? Can you show me the steps?
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  4. #4
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    Let y^2 = Y.

    What happens to the equation?
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  5. #5
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    Quote Originally Posted by Prove It View Post
    Let y^2 = Y.

    What happens to the equation?
    The equation becomes quadratic, right?
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  6. #6
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    Correct.

    What quadratic do you get? Remember that y^4 = (y^2)^2.
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