boxofrocks14 boxofrocks14
  • 03-07-2018
  • Mathematics
contestada

Find all of the zeros of the function f(x)=x^3-17x^2+81x-65

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 11-07-2018
A graph shows the function can be factored as
  f(x) = (x -1)((x-8)² +1)

There is one real root and there are two complex roots. The latter can be found from the vertex form factor:
  (x - 8)² + 1 = 0
  (x - 8)² = -1
  x - 8 = ±√(-1) = ±i
  x = 8 ± i

The zeros of the function are {1, 8-i, 8+i}.
Ver imagen sqdancefan
Answer Link

Otras preguntas

Show how to make one addend the next tens number. 15+37=?
Give an explanation as to why renewable and inexhaustible resources are used less than nonrenewable resources.
Your bill from Acme Supply Company is marked "3/15, net 30." The amount of the bill is $289.95. If you pay the bill within 15 days, how much should you tender?
perform base pairing for the following strand of DNA-TACGGTACCGGA
What culture looked for riches and new land
Help solve for a thank you
A stretched spring has 5184 J of elastic potential energy and a spring constant of 16,200 N/m. What is the displacement of the spring? 0.57 m0.64 m 0.80 m 1.25
What does Lenore symbolize in the Raven by Edgar Allen Poe?
simplify the following expression (4x-3)(12x+2)
Cave paintings have been dated in different parts of the world to at least what date?30,000 bce5000 bce100 ce1500 ce