Question

`x^(2) +2x=-1`
how do i solve this with the pq- formula?

Answer 1

`\displaystyle \boxed{\text{\sf \Large x=-1}}`

Explanation:

Add 1 to both sides

`x^2+2x+1=0`

Use quadratic formula with a=1, b=2, c=1

`\displaystyle x=(-b \pm √(b^2-4ac) )/(2a)`

`\displaystyle x= (-(2) \pm √((2)^2-4(1)(1)) )/(2(1))=-1`

Answer 2

Explanation:

x²+2x+1

x²+x+x+1

x(x+1)1(x+1).

(x+1)(x+1)

x=-1. , x=-1