A quadratic equation can be written as:
[tex]ax^2 + bx + c = 0[/tex]
First, let's factor out a 3 from both terms on the left:
[tex]x^2 + 6x + 5 = 0[/tex]
Move the constant to the other side:
[tex]x^2 + 6x = -5[/tex]
Now, to complete the square, we need to find:
[tex]( \frac{b}{2})^2[/tex]
[tex]( \frac{6}{2})^2=9 [/tex]
Now add this value to both sides of the equation:
[tex]3(x^2 + 6x + 9) = 4[/tex]
Factor:
[tex](x+3)^2=4[/tex]
Find the square root of both sides:
x + 3 = ±2
x = -5 and x = -1
