Question

if alpha and beta are the zeros of the polynomial 3 x square - 7 x + K andand 2 Beta -3 Alpha is equals to 3 find the value of k ​

Answer 1

Step-by-step explanation:

3x^2-7x+k=0

sum of zeros=(-b/a)

alpha+beta=7/3

3alpha+3beta=7.......(1)

product of zeros =c/a

alpha*beta=k/3 ........(2)

now,

Add. . 3alpha+3beta=7

-3alpha+2beta=3

..,...............................

5beta=10

beta =2

from eq(1),

3alpha+3(2)=7

3alpha=1

alpha=1/3

from eq(2),

(1/3)*2=k/3

k=2