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02-06-2020
Mathematics

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

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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]

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