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Natasha2012 [34]
2 years ago
15

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

Mathematics
1 answer:
Pie2 years ago
7 0

Answer:

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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