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ud938727

14.06.2021 •

Mathematics

If α and β are the zeroes of the polynomial ax^2 + bx + c, find the value of α^2 + β^2

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Ответ:

jngonzo1226

14.06.2021

Step-by-step explanation:

α + β = -b/a

αβ = c/a

α² + β² = (α + β)² - 2αβ

$= (\frac{-b}{a})^{2}-2\frac{c}{a}\\\\= \frac{b^{2}}{a^{2}}-\frac{2c}{a}\\\\=\frac{b^{2}}{a^{2}}-\frac{2c*a}{a*a}\\\\=\frac{b^{2}-2ca}{a^{2}}$

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Ответ:

savannah19dw

19.03.2021

434321

step-by-step explanation:

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