Question

Sail with the equation by completing the square x^2+8x=-3

Answer 1

The solutions are
`x=-4(+/-)√(13)`

Explanation:

we have

`x^(2) +8x=-3`

Complete the square. Remember to balance the equation by adding the same constants to each side

`x^(2) +8x+16=-3+16`

`x^(2) +8x+16=13`

Rewrite as perfect squares

`(x+4)^(2)=13`

square root both sides

`x+4=(+/-)√(13)`

`x=-4(+/-)√(13)`