ptan466
ptan466 ptan466
  • 19-01-2020
  • Mathematics
contestada

If [tex]z^2+z+1=0[/tex], find [tex]z^{49} + z^{50} + z^{51} + z^{52} + z^{53}[/tex]

Respuesta :

MathPhys
MathPhys MathPhys
  • 19-01-2020

Answer:

-z⁵¹

Step-by-step explanation:

z⁴⁹ + z⁵⁰ + z⁵¹ + z⁵² + z⁵³

z⁴⁹ + z⁵⁰ + z⁵¹ + z⁵¹ + z⁵² + z⁵³ − z⁵¹

z⁴⁹ (1 + z + z²) + z⁵¹ (1 + z + z²) − z⁵¹

-z⁵¹

Answer Link

Otras preguntas

What did the homestead act of 1862 do
how many ninths does it take to make the same amount as 1/3 explain your answer in words and pictures.
What can be used in a senate to stop a bill from being passed
What are two most important processes in the cycling of oxygen in and out of the atmosphere?
This type of bond results in the exchange of electrons.
Which sentence is correctly punctuated? a. Practice today starts at 4:30 PM b. Practice today starts at 4:30 P.M.. c. Practice today starts at 4:30 PM. d. P
Choose all fractions equivalent to each given fraction. Given fractionCheck all fractions that are equivalent to the given fraction. 3−7 −37 37 −3−7 −37 Gi
Like poisonous dart frogs, monarch butterflies are brightly colored. What might be adaptive advantage of bright coloration?
My mom drove the car as I sat in the passenger seat. What is the intransitive verb?
What was an important similarity between Plato and Aristotle?