Find the solutions of the quadratic equation 3x^2-5x+1=0.

The solutions of the quadratic equation are

Step-by-step explanation:

This is a second order polynomial, and we can find it's roots by the Bhaskara formula.

Explanation of the bhaskara formula:

Given a second order polynomial expressed by the following equation:

.

This polynomial has roots such that , given by the following formulas:

For this problem, we have to find .

The polynomial is , so a = 3, b = -5, c = 1.

Solution

The solutions of the quadratic equation are