Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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

options:
–6, –1
–3, –1
1, 3
–6, –2


Sagot :

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

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