sanaazhar375 sanaazhar375

14-06-2021
Mathematics

contestada

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

Respuesta :

devishri1977 devishri1977

14-06-2021

Answer:

Step-by-step explanation:

α + β = -b/a

αβ = c/a

α² + β² = (α + β)² - 2αβ

[tex]= (\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}}[/tex]

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