the sum of the roots of 5 - 2m - 3m^2 = 0 is:
a) -2/3
b) 1
c) 5/3

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;

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

answer

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step-by-step explanation: