Question

Two numbers p and q are such that the equation px2 + 3x + 2q = 0 has – 6 as the sum of roots and as the product of roots, then find the values of p and q

Answer 1

Answer:

Step-by-step explanation:

px² + 3x + 2q = 0

(coefficient of x²) a = p

(coefficient of x) b = 3

(constant term) c = 2q

given

sum of the roots = -6

product of the roots = -6

-b/a = sum

-3/p = -6

p = -3/-6

p = 1/2

c/a = product

2q/p = -6

2q/1/2 = -6

2q x 2 = -6

4q = -6

q = -3/2