Find the discriminant of the quadratic equation and indicate the number of roots: (3x^2)+2x+1=0

This expression has no roots.

Step-by-step explanation:

Using the discriminant: b² - 4ac, we get:

2² - 4 × 3 × 1

= 4 - 12

= -8

So this equation has no real solutions.  Let's prove that by trying to solve for x:

3x² + 2x + 1 = 0

9x² + 6x + 3 = 0

9x² + 6x + 1 = -2

(3x + 1)² = -2

3x + 1 = i√2

3x = -1 ± i√2

x = (-1 ± i√2) / 3

The only solutions available then are indeed complex.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}