Question

Solve x2 + 4x + 3 = 0 by completing the square.

options:
–6, –1
–3, –1
1, 3
–6, –2

Answer 1

Answer:

-3,-1

Step-by-step explanation:

x²+4x+3=0

x²+4x=-3

x²+4x+(2)²=-3+(2)²

(x+2)²=-3+4

(x+2)²=1

Take square root of both sides

x+2=±1

x=-2±1

x=-1 or-3

Answer 2

Standard form:
X^2 +4x +3=0

Factorization:
(x+3=0)(x+1)=0

Solution based on top factorization:
X+3=0. X1= -3
X+1=0. X2= -1