robert7248
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Describe the roots of the equation shown below.

[tex]3x^2+4x+2=0[/tex]

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.

Respuesta :

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

kudzordzifrancis

ANSWER

A. There are two complex roots.

EXPLANATION

The given quadratic equation is

[tex]3x^2+4x+2=0[/tex]

when we compare this to

[tex]a {x}^{2} + bx + c = 0[/tex]

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

We use the discriminant to determine the nature of roots.

[tex]D= {b}^{2} -4ac [/tex]

[tex]D= {4}^{2} -4(3)(2) [/tex]

[tex]D= 16-24[/tex]

[tex]D= - 8[/tex]

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

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