Question

Which method is the most efficient method to use to solve x^2+4x+3=0

Answer 1

X will be -1 and -3!

Answer 2

Factoring

Explanation:

To solve the equation
`x ^ 2 + 4x + 3 = 0`, you must apply the factoring method.

You must find two real numbers b and c such that:

`b + c = 4`

and

`b(c) = 3`

Then the expression:

`x ^ 2 + 4x + 3 = 0 = (x + b)(x + c)`

You can prove that:

`b = 3\\c = 1`

So

`x ^ 2 + 4x + 3 = 0 = (x + 3)(x + 1)`

`(x + 3)(x + 1) = 0`

`x +3 = 0` or
`x + 1 = 0`

`x = -3` or
`x = -1`