Question

How many solutions exist for 3x^2 +4x + 2 = 0

Answer 1

The given equation
`3x^2+4x+2=0` has exactly 2 solutions.

Explanation:

Given : Equation
`3x^2+4x+2=0`

We have to find the number of solutions of the given equation
`3x^2+4x+2=0`

Consider the given equation
`3x^2+4x+2=0`

Since, The highest degree of the given polynomial is 2.

For a polynomial, the highest degree gives the number of solution of that polynomial.

So,
`3x^2+4x+2=0` has 2 solutions.

The given equation
`3x^2+4x+2=0` has exactly 2 solutions.

Answer 2

There are two solutions for this problem because there are two solutions for all quadratics.

However, in this case, since the value of the discriminate (b^2 - 4ac) is negative, each of the answers are imaginary. So while there are two answers, there are no real answers to the above equation.