Question

if one root of quadratic equation 3x^2+px+4 = 0 is 2/3 ,find the other root of the equation.Also find the value of p​

Answer 1

Step-by-step explanation:

3x²+px+4=0

Let the roots be a and b

Given:- one root is 2/3

1)a+b=-p/3 and 2)ab=4/3

Solving 2)

ab=4/3

2/3(b)=4/3

b=2

Solve 1) to find p

a+b= -p/3

2/3+2= -p/3

8/3=-p/3

p=-8

hope it helps