gjeniprobibaj gjeniprobibaj
  • 02-06-2020
  • Mathematics
contestada

If α and β are the zeros of quadratic polynomial x2 + 3x - 2, find the value of α3 + β3.

Respuesta :

TheLazyNobita
TheLazyNobita TheLazyNobita
  • 02-06-2020

Answer:

[tex]\alpha + \beta = -3/1 = -3 \\ \alpha \beta = -2/1 = -2[/tex]

[tex]\alpha ^3 + \beta ^3[/tex]

[tex](\alpha + \beta )^3 - 3\alpha\beta (\alpha + \beta ) \\ (-3)^3 - 3(-2)(-3) \\ -27 - 18 = -45[/tex]

Answer Link

Otras preguntas

Based on the fact that they are surrounded by water, what can you infer about Rome's trade and military strength?
The quotient of a number and negative three, increased by two, is thirty nine
what is ancient Egypt's main religion
Please help with this
Charla’s blood ph level is 7.3. how will her body most likely respond?
What is 68/3 as a mixed number?
Which of the relations has a domain of {-5, 0, 5}? {(-5, 0), (0, 5), (1, 0)} {(-5, 5), (0, 5), (5,5)} {(0, -5), (0, 0), (0, 5)}
How can you tell whether the printer has been shared?
Rewrite this number in appropriate scientific notation: 902,000
Name 5 jobs a farmer working in the fields of the Nile river has to do