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

Question

asked Apr 8, 2020 95.0k views

2 Answers

Priebe · Answer 1 · 2020-04-12T08:21:24+0000

Answer:

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