Describe the nature of the roots for this equation. 3x^2 - 2x + 1 = 0 A. two real, rational roots B. two real, irrational roots C. one real, double root D. two complex roots

Question

asked Dec 18, 2020 125k views

1 Answer

Varun Garg · Answer 1 · 2020-12-24T02:11:08+0000

Answer:

Option D. two complex roots

Explanation:

we know that

In a quadratic equation of the form
ax^(2) +bx+c=0 the discriminant D is equal to

D=(b^(2)-4ac)

in this problem we have

3x^(2) -2x+1=0

so

$a=3\\b=-2\\c=1$

substitute the values

D=(-2^(2)-4(3)(1))

D=(4-12)

D=-8

The discriminant is negative

therefore

The quadratic equation has two complex roots