Question

The equation whose roots are double the roots of the equation x^2+6x+3=0 is

Answer 1

Answer:

x2 – 6x + 12 = 0

Let α, β be the roots of the given equation x2 – 3x + 3 = 0. By the given condition, the roots of the required equation are 2α and 2β. Product of roots = 2α . 2β = 4αβ = 4 × 3 = 12.07-Dec-2020