Wondermath
  • Wondermath
How can you tell if a function has no real roots? For example:x^4+13x^2+36=0
Mathematics
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Wondermath
  • Wondermath
How can you tell if a function has no real roots? For example:x^4+13x^2+36=0
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
discriminant
anonymous
  • anonymous
discriminant = sqrt(b^2 - 2ac). if its 0, 1 real root, if >0, 2 real roots, <0, only complex roots
Wondermath
  • Wondermath
but if you graph it, there are no real roots

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Wondermath
  • Wondermath
:S
Wondermath
  • Wondermath
this is weird :/
Wondermath
  • Wondermath
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
Wondermath
  • Wondermath
so thats why the equation has no real roots
Wondermath
  • Wondermath
:D

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