Question

solve 3x^2+11x+6 by completing the square method

Answer 1

Answer:

Step-by-step explanation:

Given equation; 3x^2+11x+6.

Now by completing the square method :-

Divide the equation by 3

=) x^2+11/3x+2

=) x^2+11/3x = - 2

Add (11/6)^2 on both sides

=) x^2+11/3x+(11/6)^2 = (11/6)^2 - 2

=) (x+11/6)^2 = 121/36 - 2

=) (x+11/6)^2 = 121-72/36

=) (x+11/6) = √49/36

=) x+11/6 = +-7/6

1. x = - 7/6 - 11/6

=) x = - 18/6

=) x = - 3

2. x = +7/6-11/6

=) x = 7-11/6

=) x = - 4/6

=) x = - 2/3

Therefore, x = - 3

x = - 2/3