anonymous
  • anonymous
Use the rational root theorem and the factor theorem to help solve the following equation x^3-78x+220 = 0 a) (10, -5 +- sqrt 3) b) (-10, 5 +- sqrt 3) c) (10, 5 +- sqrt 3) d) (10, -5 p- sqrt 3) e) no rational solutions
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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precal
  • precal
3 power means you are looking for 3 solutions.
precal
  • precal
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anonymous
  • anonymous
so what's the answer...?

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anonymous
  • anonymous
E is the answer. All the other answers have the sqrt of 3 in the them.
phi
  • phi
notice that the answer choices suggest 10 or -10. Let's try them in x^3-78x+220 = 0 x=10: 1000-780+220 that is not 0 x= -10: -1000 +780+220 = 0 bingo! The factor theorem says if you find f(k)= 0 then (x-k) is a factor, and x= k is a root. So -10 is a rational root Look at the choices. Only 1 has a -10. E (no rational solution) is not correct because -10 is rational. So we know the answer.

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