Question

Sum of the roots of a quadratic equation is double their product. Find k if
equation is x2 - 4kx + k + 3 = 0​

Answer 1

Answer:

x

2

−4kx+k+3=0

α+β=4k

αβ=(k+3)

α+β=2αβ

⇒4k=2(k+3)

⇒4k=2k+6

⇒2k=6

⇒k=3.