Answer:
Simplifying the expressions:
14. [tex]\frac{2 \pm \sqrt{36}}{4}[/tex]
i.e. [tex]\frac{2 \pm 6}{4}[/tex] = [tex]\frac{8}{4}[/tex] and [tex]\frac{-4}{4}[/tex] = 2 and -1.
15. [tex]\frac{-12 \pm \sqrt{0}}{4}[/tex]
i.e. [tex]\frac{-12 \pm 0}{4}[/tex] = [tex]\frac{-12}{4}[/tex] = -3
16. [tex]\frac{-3 \pm \sqrt{25}}{8}[/tex]
i.e. [tex]\frac{-3 \pm 5}{8}[/tex] = [tex]\frac{-8}{8}[/tex] and [tex]\frac{2}{8}[/tex] = -1 and [tex]\frac{1}{4}[/tex]
17. [tex]\frac{4 \pm \sqrt{200}}{12}[/tex]
i.e. [tex]\frac{4 \pm 10\sqrt{2}}{12}[/tex] = [tex]\frac{2 \pm 5\sqrt{2}}{6}[/tex]
18. [tex]\frac{-12 \pm \sqrt{204}}{2}[/tex]
i.e. [tex]\frac{-12 \pm 2\sqrt{51}}{2}[/tex] = [tex]-6 \pm \sqrt{51}[/tex]
19. [tex]\frac{6 \pm \sqrt{-264}}{6}[/tex]
i.e. [tex]\frac{6 \pm 2i\sqrt{66}}{6}[/tex] = [tex]1 \pm \frac{i\sqrt{66}}{3}[/tex]
20. [tex]\frac{-3 \pm \sqrt{25}}{2}[/tex]
i.e. [tex]\frac{-3 \pm 5}{2}[/tex] = [tex]\frac{-8}{2}[/tex] and [tex]\frac{2}{2}[/tex] = -4 and 1.
