Question

Whoever answers these questions correctly i will mark them brainliest

Answer 1

Answer:

ok mark me as brainliest

Explanation:

Let the roots of the equation  

4x  

2

−(5k+1)x+5x=0 be α and α+1

∴α+α+1=  

4

5k+1

​

⇒α=  

8

5k−3

​

 and α(α+1)=  

4

5k

​

 

⇒  

8×8

(5k−3)(5k−3+8)

​

=  

4

5k

​

 

⇒(5k−3)(5k+5)=80k

⇒(5k−3)(k+1)=16k

⇒5k  

2

−14k−3=0

⇒(k−3)(5k+1)=0

⇒k=3,  

5

−1

​

 

Hence, negative value of k is  

5

−1

​