Answer:
A) -2/3
Step-by-step explanation:
We are given the equation;
5 - 2m - 3m² = 0
We are required to get the sum of the roots of the equation;
- We will solve the equation to get the two roots,
- Using factor method;
Rearranging the equation;
3m² + 2m - 5 = 0
product = -15 m²
sum = 2 m
Terms = 5m and -3m
Therefore;
3m² + 5m - 3m - 5 = 0
Factorizing by pairing
m(3m + 5) - 1 (3m + 5) = 0
Thus;
(m - 1) (3m + 5) = 0
This means;
m - 1 = 0 or 3m + 5 =0
Hence; the roots of the equation are;
m = 1 or m = -5/3
Thus, the sum of the roots is;
= 1 + -5/3
= -2/3
Hence, the sum of the roots of the equation is -2/3
