Question

Find all solutions of the equation t + 3 + \frac{7}{t} = 0 and express them in the form a + b i:

Answer 1

hello

Answer 2

I think we should turn this into a quadratic
and complete the square

Answer 3

\[t^2+3t+7=0 \\ t^2+3t=-7 \\\ t^2+3t+(\frac{3}{2})^2=-7+(\frac{3}{2})^2 \\ \\ (t+\frac{3}{2})^2=-7+\frac{9}{4} \\ (t+\frac{3}{2})^2=\frac{-19}{4} \\ \]

Answer 4

take the square root of both sides...
let me know if you need further help