jadenhewes
jadenhewes jadenhewes
  • 02-03-2018
  • Mathematics
contestada

• Given the function, f(x) = x3 – 5x2 + 9x – 45, determine the number of roots and identify them.

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carlosego
carlosego carlosego
  • 02-03-2018
x3 - 5x2 + 9x - 45 = 0
 It is a polynomial of degree three, therefore, it has three roots.
 For this case, what we can do is factorize to write the polynomial in an easier way and thus be able to find the roots.
 Factoring we have:
 (x - 5) (x ^ 2 + 9) = 0
 x = 5
 x = 3i
 x = -3i
 Answer: 
 three roots: 
 x = 5 
 x = 3i 
 x = -3i
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