Question

If α and β are the zeroes of the polynomial.x'+ax+b then show α ²+ β^2 = a^2-2b​

Answer 1

Answer:

$\alpha + \beta = - a \\ \alpha \beta = b \\ now \: { \alpha }^{2} + { \beta }^{2} = {( \alpha + \beta )}^{2} - 2 \alpha \beta \\ = {a}^{2} - 2b$

Answer 2

Answer:

$a {}^{2} - b$