Question

If the roots of 4x^2+5k=(5k+1)x

Answer 1

Answer:

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