Determine what type of number the solutions are and how many exist for the equation 3x^2+7x+5=0

Two complex (imaginary) solutions.

Step-by-step explanation:

To determine the number/type of solutions for a quadratic, we can evaluate its discriminant.

The discriminant formula for a quadratic in standard form is:

We have:

Hence, a=3; b=7; and c=5.

Substitute the values into our formula and evaluate. Therefore:

Hence, the result is a negative value.

If:

Since our discriminant is negative, this means that for our equation, there exists two complex (imaginary) solutions.

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step-by-step explanation: