Second-Degree Polynomials

$\blacktriangleright$ Polynomials + Roots

ax2 + bx + c, roots:
${\frac{{1}}{{2a}}}$$\left(\vphantom{ -b+\sqrt{\left( b^{2}-4ac\right) }}\right.$ - b + $\sqrt{{\left( b^{2}-4ac\right) }}$$\left.\vphantom{ -b+\sqrt{\left( b^{2}-4ac\right) }}\right)$ 6pt
${\frac{{1}}{{2a}}}$$\left(\vphantom{ -b-\sqrt{\left( b^{2}-4ac\right) }}\right.$ - b - $\sqrt{{\left( b^{2}-4ac\right) }}$$\left.\vphantom{ -b-\sqrt{\left( b^{2}-4ac\right) }}\right)$ 6pt

5x2 + 2x - 3, roots:
${\frac{{3}}{{5}}}$
-1

5x2 + x + 3, roots:
- ${\frac{{1}}{{10}}}$ + ${\frac{{1}}{{10}}}$i$\sqrt{{59}}$ 6pt
- ${\frac{{1}}{{10}}}$ - ${\frac{{1}}{{10}}}$i$\sqrt{{59}}$ 6pt