Question

the roots A and B of the quadratic equation x^2 -5x +3k =0 , find the value of k ​

Answer 1

Answer:

Let the common root be α

⟹α

2

−kα−21=0......(1)

α

2

−3kα+35=0........(2)

(1)−(2)⟹2kα=56⟹α=

k

28

Substituting α=

k

28

in (1)

(

k

28

)

2

−28−21=0

⟹k=±4