Question

☆pls help no one has helped me and I'm so confused! ​

Answer 1

Answer:

Step-by-step explanation:

a). $\frac{5\pm\sqrt{-4}}{3}$ = $\frac{5}{3}\pm \frac{\sqrt{-4}}{3}$

               = $\frac{5}{3}\pm\frac{2\sqrt{(-1)} }{3}$

               = $\frac{5}{3}\pm\frac{2i}{3}$ [Since, i = $\sqrt{(-1)}$]

b). $\frac{10\pm\sqrt{-16}}{2}$ = $\frac{10}{2}\pm \frac{\sqrt{-16}}{2}$

                  = $5\pm \frac{4\sqrt{-1}}{2}$

                  = 5 ± 2i [Since, i = $\sqrt{(-1)}$]

c). $\frac{-3\pm \sqrt{-144}}{6}$ = $-\frac{3}{6}\pm \frac{\sqrt{-144}}{6}$

                    = $-\frac{3}{6}\pm \frac{12\sqrt{-1}}{6}$

                    = $-\frac{1}{2}\pm 2\sqrt{-1}$

                    = $-\frac{1}{2}\pm 2i$ [Since, i = $\sqrt{(-1)}$]