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Math Help - Rational Zero's problem

  1. #1
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    Rational Zero's problem

    Find only the rational zeros. x^4 + 9


    Thanks!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by kharris82
    Find only the rational zeros. x^4 + 9
    Your problem asks for the rational roots of:

    <br />
x^4+9=0<br />

    This may be rewritten as:


    <br />
x^4=-9<br />
.

    Now as x is real x^4 is positive which contradicts
    the equation, so there can be no real roots of x^4+9=0, and
    so there are no rational roots.

    RonL
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