Answer:
<em>The sum of the two solutions to the given equation is 1/3.</em>
Step-by-step explanation:
<u>Nature of Roots of a Second-Degree Equation</u>
Given a quadratic equation:
The roots of the equation are:
The sum of the roots is:
The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient.
We are given the equation:
Rearranging:
The coefficient b is b=-1, and the leading coefficient is a=3, thus the sum of the roots is:
The sum of the two solutions to the given equation is 1/3.