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

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

State governments are, for the most part, set up the same as the federal government?

Detached earlobes are dominant. A child inherits genes with the genotype: EE and ee. What is the chance that they will have detached earlobes? a. 25% chance b

Which of these factors led to the stock market crash of 1929? high interest rates low tariff barriers high taxes excessive credit expansion

what fraction of a pound is 25 pence

What are the five steps in the scientific method?

What did the archetype of the devil usually symbolize in the American romantic literature The greed, cruelty and dishonesty of society The religious beliefs and

Which of these is a major reason colonists came to Massachusetts? "Colonial America has great farmland." "Colonial America offers religious freedom." "The Ameri

How did the industrial revolution affect the political, social, economic, population, and transportation changes brought to each region (North, South, West, Mid

what temperature is 10 degrees higher than minus 7 degrees

In 1783, the Treaty of Paris _____. gave all British territories west of the Appalachian Mountains to France confined the United States to territories held by t