Question

Solve the quadratic equation x2+2x+3​

Answer 1

`x=i√(2) -1, x=-i√(2)-1`

Explanation:

Hoping the equation is
`x^2+2x+3 = 0`

Rewrite so I can complete the square:

`x^2+2x=-3`

Take the square of half of 2 and square.

`x^2+2x+1=-2`

`(x+1)^2=-2`

`x + 1=√(-2)`

`x=i√(2) -1, x=-i√(2)-1`

Answer 2

-2+ sqrt(8)i or -2-sqrt(8)i

Explanation: