Question

Describe the roots of the equation shown below.


`3x^2+4x+2=0`

A. There are two complex roots.
B. There is one real, double root.
C. There are two real, rational roots.
D. There are two real, irrational roots.

Answer 1

Answer A becaus descriminant =16-4*3*2=-8

Answer 2

A. There are two complex roots.

Step-by-step explanation

The given quadratic equation is

`3x^2+4x+2=0`

when we compare this to

`a {x}^(2) + bx + c = 0`

we have a=3,b=4 and c=2.

We use the discriminant to determine the nature of roots.

`D= {b}^(2) -4ac`

`D= {4}^(2) -4(3)(2)`

`D= 16-24`

`D= - 8`

Since the discriminant is less than zero, the equation will have 2 complex roots.