Question

3

28. If one root of the quadratic equation 3x2+px+4=0 is 2/3, then find the value

of p and the other root of the equation​

Answer 1

Answer:

p = -8 and x = 2

Step-by-step explanation:

p(x) = 3x^2 + px + 4

p(2/3) = 3(2/3)^2 + p(2/3) + 4 =0

4/3 + 2p/3 + 4 = 0  

p = -8

3x^2 + px + 4 = 0

3x^2 - 8x + 4 = 0

3x^2 - 6x - 2x + 4 = 0

(3x - 2) (x-2) = 0

X=2/3 or x=2

Hence, x = 2