Question

Find all solutions of the equation x2-2x+8=0 and express them in the form a+bi

Answer 1

Answer:
`-1 +√(7) i` and
`-1 -√(7) i`

Explanation:

`x^2 + 2x +8 = 0`

We cant factor. so use the quadratic formula and get:

`x = (-2 + √(-28) )/(2)` and
`x = (-2 - √(-28) )/(2)`

these can be simplified to:

`-1 +√(7) i` and
`-1 -√(7) i`

and thats it!