Question

1-1f one solution of the equation 37 - 82 +2kti
Seven
3
아를 (0 를
(6)
cg 3
?
2
times the other find the value of k.​

Answer 1

Answer:

if one of the root is a then other is 7a

Rearranging the given equation,

3x  

2

−8x−2k−1=0

Sum of the roots must be -(-8)/3

=8/3

So,

a+7a=  

3

8

​  

 

8a=  

3

8

​  

 

a=  

3

1

​  

 

​  

 

and  product of the roots should be (2k+1)/3

So,

a×7a=  

3

−2k−1

​  

 

7a  

2

=  

3

−2k−1

​  

 

7(  

3

1

​  

)  

2

=  

3

−2k−1

​  

 

−2k−1=  

3

7

​  

 

−6k−3=7

−6k=10

k=  

3

−5

​  

 

​