In this problem, we are asked to find the sum of the roots of a quadratic equation. Though we can proceed and solve for its roots, there is an extremely easy way to find the answer.
The formula for finding the sum of the roots is -b/a where the variables are both the numerical coefficients in the standard form of the quadratic equation.
Here, we have a = 2, b = -3, and c = -20.
Substituting the values of a and b into the formula, we can now evaluate to find the result.
-b / a
- (-3) / 2
3/2
Therefore, the sum of the two roots of the given quadratic equation is 3/2.
In similar problems, you can get the sum of the roots using -b/a and the product of the roots using c/a.
Answers & Comments
Answer:
3/2
In this problem, we are asked to find the sum of the roots of a quadratic equation. Though we can proceed and solve for its roots, there is an extremely easy way to find the answer.
The formula for finding the sum of the roots is -b/a where the variables are both the numerical coefficients in the standard form of the quadratic equation.
Here, we have a = 2, b = -3, and c = -20.
Substituting the values of a and b into the formula, we can now evaluate to find the result.
-b / a
- (-3) / 2
3/2
Therefore, the sum of the two roots of the given quadratic equation is 3/2.
In similar problems, you can get the sum of the roots using -b/a and the product of the roots using c/a.
Hope this helps!