Question

Find the ratio of the sum of the roots and their product of the Quadratic Equation 3x 2 − 2x + 1 = 0.

Answer 1

$3 {x}^{2} - 2x + 1 = 0$

a = 3

b = -2

c = 1

Sum of the roots = -b/a = -(-2)/3 = 2/3

Product of the roots = c/a = 1/3

ratio =

2/3 : 1/3

= 2 : 1

Therefore, ratio between sum and product of the roots of given equation is 2:1.