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Wondermath

  • 5 years ago

How can you tell if a function has no real roots? For example:x^4+13x^2+36=0

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  1. anonymous
    • 5 years ago
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    discriminant

  2. anonymous
    • 5 years ago
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    discriminant = sqrt(b^2 - 2ac). if its 0, 1 real root, if >0, 2 real roots, <0, only complex roots

  3. Wondermath
    • 5 years ago
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    but if you graph it, there are no real roots

  4. Wondermath
    • 5 years ago
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    :S

  5. Wondermath
    • 5 years ago
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    this is weird :/

  6. Wondermath
    • 5 years ago
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    wait actually if you substitue x^2 by a, u get x^2+4 and x^2+9, and those don't have real roots

  7. Wondermath
    • 5 years ago
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    so thats why the equation has no real roots

  8. Wondermath
    • 5 years ago
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    :D

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