Question

Describe the roots of the equation shown below. 3x^2+4x+2=0

Answer 1

There are two real, rational roots.

There are two real, irrational roots.

There is one real, double root.

There are two complex roots.

Answer 2

find the discriminant of the above equation...
let's compare it with our model..
ax^2 + bx + c = 0
3x^2 + 4x + 2=0
here in ur problem...
a = 3 b = 4 c = 2
so....
the discriminant is
b^2 - 4ac
which is
4^2 - 4(2*3) = 16 - 24
= -8
so the discriminant is negative..
which means

there r 2 complex roots.....

Answer 3

thanks!

Answer 4

u r welcome!!

Answer 5

Just thought I'd add the reason why there are 2 complex roots.
You have to take the square root of the discriminant (b² - 4ac). When b² -4ac is negative, you have to determine the square root of a negative number which always results in a complex number.