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

x2-4kx+k+3=0
Let roots be a and b
ab = k+3 , a+b= -(-4k)=4k
Given that a+b=2ab
=> 4k = 2(k+3)
=> 2k = k+3
=> k = 3