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Math Help - polynominal with exponent of 4 question

  1. #1
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    polynominal with exponent of 4 question

    Hello, this equation came up in class:
    y^4 - 400y^2 + 25600

    The teacher used this method to solve it:
    let y^2 = z
    z^2 - 400z + 25600
    z = 320 or 80

    I was just wondering what the name for the method used to solve it is, so that I can google and find out more information / practice examples etc. It is the first time I had come across this type of polynominal with an exponent higher than 3.

    Thanks kindly.
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  2. #2
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    Re: polynominal with exponent of 4 question

    Quote Originally Posted by fran1942 View Post
    Hello, this equation came up in class:
    y^4 - 400y^2 + 25600

    The teacher used this method to solve it:
    let y^2 = z
    z^2 - 400z + 25600
    z = 320 or 80

    I was just wondering what the name for the method used to solve it is, so that I can google and find out more information / practice examples etc. It is the first time I had come across this type of polynominal with an exponent higher than 3.

    Thanks kindly.
    It's just recognition that this is a quadratic equation in y^2.

    By the way, the equation hasn't been solved yet. Now you need to find y.
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  3. #3
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    Re: polynominal with exponent of 4 question

    Quote Originally Posted by fran1942 View Post
    Hello, this equation came up in class:
    y^4 - 400y^2 + 25600

    The teacher used this method to solve it:
    let y^2 = z
    z^2 - 400z + 25600
    z = 320 or 80

    I was just wondering what the name for the method used to solve it is, so that I can google and find out more information / practice examples etc. It is the first time I had come across this type of polynominal with an exponent higher than 3.

    Thanks kindly.
    These equations are known as Biquadratic Equations
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