Question

For what values of x the expression 3x^2+4x+4

Answer 1

Answer:

x =

Work:

Factoring: (3x + 2)(x + 2)

3 x 2 + 4 x + 4 = 0

Use the quadratic formula to find the solutions.

− b ± √ b 2 − 4 ( a c )

               2 a

Substitute the values  a = 3 , b = 4 , and c = 4 into the quadratic formula and solve for x .

− 4 ± √ 4 2 − 4 ⋅ ( 3 ⋅ 4 )

          2 ⋅ 3

Simplify.

x = − 2 ± 2 i √ 2 3

The final answer is the combination of both solutions.

x = − 2 − 2 i √ 2, _ − 2 + 2 i √ 2

              3                         3