Question

Solve the following quadratic equation using the quadratic formula.

Answer 1

The quadratic formula tells you the solution to
  ax² +bx +c = 0
is
  $x=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$
Plugging in the values a=5, b=-8, c=5, you get
  $x=\frac{8 \pm \sqrt{(-8)^{2}-4\cdot 5\cdot 5}}{2\cdot 5} = \frac{8 \pm \sqrt{-36}}{10} = \frac{4 \pm 3i}{5}$

Your solution is
  $x=\frac{4-3i}{5},x=\frac{4+3i}{5}$