Question

if 2 and 3 are the roots of x^2 + px + q = 0 ,
find the value of p and q

Answer 1

Answer:

p = -5

q = 6

Step-by-step explanation:

In a quadratic equation of form ax²+bx+c = 0,

the sum of roots of the equation = -b/a

the product of roots of the equation = c/a

According to the given equation

a = 1

b = p

c = q

Sum of roots = -b/a

2+3 = -p/1

-p = 5

p = -5

Product of roots = c/a

2×3 = q/1

q = 6