Question

Find the zeroes of the polynomia $x^2-3$ and verify the relationship between the zeroes and coefficients.

Answer 1

$x^2-3=0$

$x^2=3\Rightarrow x=\pm \sqrt{3}$

$\alpha +\beta =+\sqrt{3}-\sqrt{3}=0=\frac{-b}{a}$ (verified)

$\alpha ,\beta =+\sqrt{3}=(-\sqrt{3})=-3=\frac{c}{a}$ (verified)